Prof. Dr. Karl Hermann Neeb
Professorinnen und Professoren
Adresse
Cauerstraße 11 91058 Erlangen
Kontakt
Leitung
Promovenden
Masterstudierender
Raum 01.335, Telefon +49 9131 85-67033
Frank Alleborn
Ehemalige
Professoren
Prof. Dr. Stefan Waldmann
Juniorprofessoren
Prof. Dr. Jan Frahm
Prof. Dr. Kang Li
Postdocs
Dr. Bas Janssens
Dr. Timothée Marquis
Dr. Stéphane Merigon
Promovenden
Dr. Hasan Gündogan
Dr. Peter Helmreich
Dr. Manuel Herbst
Dr. Daniel Oeh
Dr. Jonas Schober
Dr. Stefan Wagner
Dr. Christoph Zellner
Gastwissenschaftler
Dr. Maria Stella Adamo
Zehong Huang
Prof. Dr. Lucas Seco Ferreira
Research Interests
Structure and representation theory of infinite-dimensional Lie groups and Lie algebras.
Lie groups and Lie algebras
The simplest examples of Lie groups are are groups of matrices that students already encounter in the basic courses on Linear Algebra. One research focus of the group are infinite dimensional Lie groups, which are generalizations of matrix groups. These are groups carrying a smooth manifold structure for which the group operations are smooth. A natural first order approximation of a Lie group is its Lie algebra and the translation mechanism between Lie groups and Lie algebra lies at the heart of Lie theory. This is analogous to modeling a dynamical system by a differential equation (infinitesimal level) and to recover the dynamics (global level) by an integration process.
The representation theory of Lie groups and their Lie algebras deals with the different realizations of a Lie group by symmetries of a mathematical structure and plays an important role in classifying objects in terms of their symmetries. Felix Klein’s Erlangen program even defines geometry in terms of the corresponding symmetry groups. Lie groups and their Lie algebras also play a fundamental role as symmetries of classical and quantum mechanical systems. Here classical systems are modeled by Hamiltonian Lie group actions and quantum systems lead to unitary representations of Lie groups, an area which is under active investigation for infinite dimensional groups.
Journal of Lie Theory (Deputy Managing Editor)
seit 01.01.1998
Das „Journal of Lie Theory“ wurde von 1991 bis 2025 vom Heldermann Verlag herausgegeben.
Seit 2026 ist das „Journal of Lie Theory“ Eigentum der Universität Reims Champagne-Ardennes und wird vom Centre Mersenne herausgegeben.
Studies in Mathematics (Editor)
seit 01.01.2009
Symmetry Integrability and Geometry-Methods and Applications (Editor)
seit 01.07.2019
Beiträge in Fachzeitschriften
2026
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Crowned Lie groups and nets of real subspaces
In: Annals of Global Analysis and Geometry 70 (2026), Art.Nr.: 5
ISSN: 0232-704X
DOI: 10.1007/s10455-026-10052-5
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Elliptic Domains in Lie Groups
In: Transformation Groups (2026)
ISSN: 1083-4362
DOI: 10.1007/s00031-026-09952-4
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2025
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Reflection positivity and its relation to disc, half plane and the strip
In: Expositiones Mathematicae 43 (2025), Art.Nr.: 125660
ISSN: 0723-0869
DOI: 10.1016/j.exmath.2025.125660
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On the singularities of the exponential function of a semidirect product
In: Classical and Quantum Gravity 42 (2025), Art.Nr.: 115009
ISSN: 0264-9381
DOI: 10.1088/1361-6382/add786
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Realization of unitary representations of the Lorentz group on de Sitter space
In: Indagationes Mathematicae 36 (2025), S. 61-113
ISSN: 0019-3577
DOI: 10.1016/j.indag.2024.04.002
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Orthogonal pairs of Euler elements I. Classification, fundamental groups and twisted duality
In: Forum Mathematicum (2025)
ISSN: 0933-7741
DOI: 10.1515/forum-2025-0365
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Fundamental polytope for the isometry group of an alcove
In: Journal of Algebra 683 (2025), S. 633-671
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2025.06.035
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2024
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HOLOMORPHIC EXTENSION OF ONE-PARAMETER OPERATOR GROUPS
In: Pure and Applied Functional Analysis 9 (2024), S. 1483-1526
ISSN: 2189-3764
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INDUCED DIFFERENTIAL CHARACTERS ON NONLINEAR GRASSMANNIANS
In: Annales de l'Institut Fourier 74 (2024), S. 2483-2503
ISSN: 0373-0956
DOI: 10.5802/aif.3661
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Modular geodesics and wedge domains in non-compactly causal symmetric spaces
In: Annals of Global Analysis and Geometry 65 (2024), Art.Nr.: 9
ISSN: 0232-704X
DOI: 10.1007/s10455-023-09937-6
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Covariant projective representations of Hilbert-Lie groups
In: Journal für die reine und angewandte Mathematik (2024)
ISSN: 0075-4102
DOI: 10.1515/crelle-2024-0083
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2023
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From Euler Elements and 3-Gradings to Non-Compactly Causal Symmetric Spaces
In: Journal of Lie Theory 33 (2023), S. 377-432
ISSN: 0949-5932
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2022
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Reflection positivity and Hankel operators— The multiplicity free case
In: Journal of Functional Analysis 283 (2022), Art.Nr.: 109493
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2022.109493
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A family of non-modular covariant AQFTs
In: Analysis and Mathematical Physics 12 (2022), Art.Nr.: 124
ISSN: 1664-2368
DOI: 10.1007/s13324-022-00727-0
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Semigroups in 3-graded Lie groups and endomorphisms of standard subspaces
In: Kyoto Journal of Mathematics 62 (2022), S. 577-613
ISSN: 2156-2261
DOI: 10.1215/21562261-2022-0017
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Wedge Domains in Compactly Causal Symmetric Spaces
In: International Mathematics Research Notices (2022)
ISSN: 1073-7928
DOI: 10.1093/imrn/rnac131
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Ground state representations of topological groups
In: Mathematische Annalen (2022)
ISSN: 0025-5831
DOI: 10.1007/s00208-022-02531-4
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2021
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Central Extensions of Lie Groups Preserving a Differential Form
In: International Mathematics Research Notices 2021 (2021), S. 3794-3821
ISSN: 1073-7928
DOI: 10.1093/imrn/rnaa085
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Covariant Homogeneous Nets of Standard Subspaces
In: Communications in Mathematical Physics (2021)
ISSN: 1432-0916
DOI: 10.1007/s00220-021-04046-6
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FINITE DIMENSIONAL SEMIGROUPS OF UNITARY ENDOMORPHISMS OF STANDARD SUBSPACES
In: Representation Theory 25 (2021), S. 300-343
ISSN: 1088-4165
DOI: 10.1090/ert/566
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Elements in Pointed Invariant Cones in Lie Algebras and Corresponding Affine Pairs
In: Bulletin of the Iranian Mathematical Society (2021)
ISSN: 1735-8515
DOI: 10.1007/s41980-021-00671-y
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Nets of standard subspaces on Lie groups
In: Advances in Mathematics 384 (2021), Art.Nr.: 107715
ISSN: 1090-2082
DOI: 10.1016/j.aim.2021.107715
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Standard Subspaces of Hilbert Spaces of Holomorphic Functions on Tube Domains
In: Communications in Mathematical Physics (2021)
ISSN: 0010-3616
DOI: 10.1007/s00220-021-04144-5
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2020
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Covariant representations for possibly singular actions on C*-algebras
In: Dissertationes Mathematicae (2020), S. 1-94
ISSN: 0012-3862
DOI: 10.4064/dm793-6-2019
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CROSSED PRODUCTS OF C*-ALGEBRAS FOR SINGULAR ACTIONS WITH SPECTRUM CONDITIONS
In: Journal of Operator Theory 84 (2020), S. 369-451
ISSN: 0379-4024
DOI: 10.7900/jot.2019jun14.2265
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Multiplicity-freeness of Unitary Representations in Sections of Holomorphic Hilbert Bundles
In: International Mathematics Research Notices 2020 (2020), S. 4852-4889
ISSN: 1073-7928
DOI: 10.1093/imrn/rny160
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A survey on invariant cones in infinite dimensional lie algebras
In: Journal of Lie Theory 30 (2020), S. 513-564
ISSN: 0949-5932
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Universal central extensions of current Lie superalgebras
In: Journal of Pure and Applied Algebra 224 (2020)
DOI: 10.1016/j.jpaa.2019.106205
URL: https://arxiv.org/abs/1707.00282
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Reflection positivity on spheres
In: Analysis and Mathematical Physics 10 (2020), Art.Nr.: 9
ISSN: 1664-2368
DOI: 10.1007/s13324-019-00353-3
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SYMMETRIC SPACES WITH DISSECTING INVOLUTIONS
In: Transformation Groups (2020)
ISSN: 1083-4362
DOI: 10.1007/s00031-020-09595-z
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2019
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Projective unitary representations of infinite-dimensional Lie groups
In: Kyoto Journal of Mathematics 59 (2019), S. 293-341
ISSN: 2156-2261
DOI: 10.1215/21562261-2018-0016
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KMS conditions, standard real subspaces and reflection positivity on the circle group
In: Pacific Journal of Mathematics 299 (2019), S. 117–169
ISSN: 0030-8730
DOI: 10.2140/pjm.2019.299.117
URL: https://arxiv.org/abs/1611.00080
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2018
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Reflection positivity on real intervals
In: Semigroup Forum 96 (2018), S. 31-48
ISSN: 0037-1912
DOI: 10.1007/s00233-017-9847-8
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Erratum: Full regularity for a C-algebra of the canonical commutation relations
In: Reviews in Mathematical Physics 30 (2018)
ISSN: 0129-055X
DOI: 10.1142/S0129055X17920027
URL: https://arxiv.org/abs/math/0605413
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On the first order cohomology of infinite dimensional unitary groups
In: Annales de l'Institut Fourier 68 (2018), S. 2149-2176
ISSN: 0373-0956
DOI: 10.5802/aif.3205
URL: https://arxiv.org/abs/1607.00181
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Reflection negative kernels and fractional Brownian motion
In: Symmetry 10 (2018)
ISSN: 2073-8994
DOI: 10.3390/sym10060191
URL: https://arxiv.org/abs/1805.02593
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Half-Lie Groups
In: Transformation Groups 23 (2018), S. 801-840
ISSN: 1083-4362
DOI: 10.1007/s00031-018-9485-6
URL: https://arxiv.org/abs/1607.07728
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Reflection Positivity
In: Oberwolfach reports 14 (2018), S. 3263–3343
ISSN: 1660-8933
DOI: 10.4171/OWR/2017/55
URL: https://www.ems-ph.org/journals/show_abstract.php?issn=1660-8933&vol=14&iss=4&rank=10
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Current superalgebras and unitary representations
In: Journal of Pure and Applied Algebra 222 (2018), S. 3303-3333
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2017.12.009
URL: https://arxiv.org/abs/1707.00282
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2017
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Isomorphisms of twisted Hilbert loop algebras
In: Canadian Journal of Mathematics-Journal Canadien De Mathematiques (2017)
ISSN: 0008-414X
DOI: 10.4153/CJM-2016-003-x
URL: https://arxiv.org/abs/1508.07938
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Diffeomorphism groups of compact convex sets
In: Indagationes Mathematicae 28 (2017), S. 760-783
ISSN: 0019-3577
DOI: 10.1016/j.indag.2017.04.004
URL: https://arxiv.org/abs/1603.05995
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Positive energy representations of double extensions of Hilbert loop algebras
In: Journal of the Mathematical Society of Japan 69 (2017), S. 1485-1518
ISSN: 0025-5645
DOI: 10.2969/jmsj/06941485
URL: https://arxiv.org/abs/1511.03980
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Smoothing operators and C*-algebras for infinite dimensional Lie groups
In: International Journal of Mathematics 28 (2017)
ISSN: 0129-167X
DOI: 10.1142/S0129167X17500422
URL: https://arxiv.org/abs/1505.02659
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2016
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Polynomial representations of C*-algebras and their applications
In: Integral Equations and Operator Theory 86 (2016), S. 545-578
ISSN: 0378-620X
DOI: 10.1007/s00020-016-2335-9
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Reflection positive stochastic processes indexed by Lie groups
In: Symmetry Integrability and Geometry-Methods and Applications 12 (2016)
ISSN: 1815-0659
DOI: 10.3842/SIGMA.2016.058
URL: https://arxiv.org/abs/1510.07445
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Positive energy representations for locally finite split Lie algebras
In: International Mathematics Research Notices 21 (2016), S. 6689-6712
ISSN: 1073-7928
DOI: 10.1093/imrn/rnv367
URL: https://arxiv.org/abs/1507.06077
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Crossed product algebras and direct integral decomposition for Lie supergroups
In: Pacific Journal of Mathematics 282 (2016), S. 213-232
ISSN: 0030-8730
DOI: 10.2140/pjm.2016.282.213
URL: https://arxiv.org/abs/1506.01558
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On the characterization of trace class representations and Schwartz operators
In: Journal of Lie Theory 26 (2016), S. 787 - 805
ISSN: 0949-5932
URL: https://arxiv.org/abs/1512.02451
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2015
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Finite dimensional compact and unitary Lie superalgebras
In: Journal of Pure and Applied Algebra 219 (2015), S. 4422 - 4440
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2015.02.024
URL: http://www.sciencedirect.com/science/article/pii/S0022404915000511
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Nonlinear completely positive maps and dilation theory for real involutive algebras
In: Integral Equations and Operator Theory 83 (2015), S. 517 - 562
ISSN: 0378-620X
DOI: 10.1007/s00020-015-2244-3
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Norm continuous unitary representations of Lie algebras of smooth sections
In: International Mathematics Research Notices (2015), S. 9081 - 9137
ISSN: 1073-7928
DOI: 10.1093/imrn/rnu231
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Integrability of unitary representations on reproducing kernel spaces
In: Representation Theory (2015), S. 24 - 55
ISSN: 1088-4165
DOI: 10.1090/S1088-4165-2015-00461-3
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Reflection positive one-parameter groups and dilations
In: Complex Analysis and Operator Theory 9 (2015), S. 653 - 721
ISSN: 1661-8254
DOI: 10.1007/s11785-014-0402-2
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Reflection positivity for the circle group
In: Journal of Physics : Conference Series 597 (2015), Art.Nr.: 012004
ISSN: 1742-6588
DOI: 10.1088/1742-6596/597/1/012004
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C∗-algebras and direct integral decomposition for Lie supergroups
In: Pacific Journal of Mathematics 282 (2015), S. 213-232
ISSN: 0030-8730
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Classification of positive energy representations of the Virasoro group
In: International Mathematics Research Notices 18 (2015), S. 8620-8656
ISSN: 1073-7928
DOI: 10.1093/imrn/rnu197
URL: http://imrn.oxfordjournals.org/content/early/2014/11/08/imrn.rnu197
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On an invariance property of the space of smooth vectors
In: Kyoto Journal of Mathematics 55 (2015), S. 501 - 515
ISSN: 2156-2261
DOI: 10.1215/21562261-3089019
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2014
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Crossed products of C*-algebras for singular actions
In: Journal of Functional Analysis 266 (2014), S. 5199 - 5269
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2014.01.022
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On convex hulls of orbits of Coxeter groups and Weyl groups
In: Münster Journal of Mathematics (2014), S. 463-487
ISSN: 1867-5778
DOI: 10.17879/58269762646
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Positive energy representations and continuity of projective representations for general topological groups
In: Glasgow Mathematical Journal 56 (2014), S. 295 - 316
ISSN: 0017-0895
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Semibounded unitary representations of double extensions of Hilbert-Loop groups
In: Annales de l'Institut Fourier 64 (2014), S. 1823 - 1892
ISSN: 0373-0956
URL: http://eudml.org/doc/275603
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Reflection positivity and conformal symmetry
In: Journal of Functional Analysis 206 (2014), S. 2174 - 2224
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2013.10.030
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2013
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Infinite Tensor Products of C₀(R): Towards a Group Algebra for R∞
In: Journal of Operator Theory 70 (2013), S. 311 - 353
ISSN: 0379-4024
DOI: 10.7900/jot.2011aug22.1930
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Differentiable vectors and unitary representations of Fréchet-Lie supergroups
In: Mathematische Zeitschrift 275 (2013), S. 419-451
ISSN: 0025-5874
DOI: 10.1007/s00209-012-1142-5
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Positive definite superfunctions and unitary representations of Lie supergroups
In: Transformation Groups 18 (2013), S. 803-844
ISSN: 1083-4362
DOI: 10.1007/s00031-013-9228-7
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Making lifting obstructions explicit
In: Proceedings of the London Mathematical Society 106 (2013), S. 589 - 620
ISSN: 0024-6115
DOI: 10.1112/plms/pds047
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Oscillator algebras with semi-equicontinuous coadjoint orbits
In: Differential Geometry and its Applications 31 (2013), S. 268-283
ISSN: 0926-2245
DOI: 10.1016/j.difgeo.2012.10.010
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2012
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Schur-Weyl Theory for C*-algebras
In: Mathematische Nachrichten 285 (2012), S. 1170 - 1198
ISSN: 0025-584X
DOI: 10.1002/mana.201100114
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When unit groups of continuous inverse algebras are regular Lie groups
In: Studia Mathematica 211 (2012), S. 95 - 109
ISSN: 0039-3223
URL: http://eudml.org/doc/285662
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Analytic extension techniques for unitary representations of Banach-Lie groups
In: International Mathematics Research Notices 18 (2012), S. 4260 - 4300
ISSN: 1073-7928
DOI: 10.1093/imrn/rnr174
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Categories of unitary representations of Banach-Lie supergroups and restriction functors
In: Pacific Journal of Mathematics 257 (2012), S. 431 - 469
ISSN: 0030-8730
DOI: 10.2140/pjm.2012.257.431
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Semibounded representations of Hermitian Lie groups
In: Travaux mathématiques 21 (2012), S. 29-109
ISSN: 1024-1833
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2011
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On analytic vectors for unitary representations of infinite dimensional Lie groups
In: Annales de l'Institut Fourier 61 (2011), S. 1441 - 1476
ISSN: 0373-0956
URL: http://eudml.org/doc/219711
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Erratum: Cartan subalgebras of g∞
In: Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques 54 (2011), S. 519
ISSN: 0008-4395
DOI: 10.4153/CMB-2011-018-2
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Borel-Weil Theory for Groups over Commutative Banach-Algebras
In: Journal für die reine und angewandte Mathematik 655 (2011), S. 165-187
ISSN: 0075-4102
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2010
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Geometric characterization of hermitian algebras with continuous inversion
In: Bulletin of the Australian Mathematical Society 81 (2010), S. 96 - 113
ISSN: 0004-9727
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Localization via Automorphisms of the CARs: Local gauge invariance
In: Letters in Mathematical Physics 93 (2010), S. 169 - 185
ISSN: 0377-9017
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Borel-Weil theory for root graded Banach-Lie groups
In: International Mathematics Research Notices (2010), S. 783--823
ISSN: 1073-7928
DOI: 10.1093/imrn/rnp146
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On differentiable vectors for representations of infinite dimensional Lie groups
In: Journal of Functional Analysis 259 (2010), S. 2814 - 2855
ISSN: 0022-1236
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Semibounded representations and invariant cones in infinite dimensional Lie algebras
In: Confluentes Mathematici 2 (2010), S. 37--134
ISSN: 1793-7442
DOI: 10.1142/S1793744210000132
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An abstract settting for hamiltonian actions
In: Monatshefte für Mathematik 159 (2010), S. 261 - 288
ISSN: 0026-9255
DOI: 10.1007/s00605-009-0167-2
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2009
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Full regularity for a C*-algebra of the canonical commutation relations
In: Reviews in Mathematical Physics 21 (2009), S. 587 - 613
ISSN: 0129-055X
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Pro-Lie groups which are infinite-dimensional Lie groups
In: Mathematical Proceedings of the Cambridge Philosophical Society 146 (2009), S. 351--378
ISSN: 0305-0041
DOI: 10.1017/S030500410800128X
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The compact generation of closed subgroups of locally compact groups
In: Journal of Group Theory 12 (2009), S. 555 - 559
ISSN: 1433-5883
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An implicit function theorem for Banach spaces and some applications
In: Mathematische Zeitschrift 262 (2009), S. 627 - 643
ISSN: 0025-5874
DOI: 10.1007/s00209-008-0394-6
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Central extensions of groups of sections
In: Annals of Global Analysis and Geometry 36 (2009), S. 381 - 418
ISSN: 0232-704X
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2008
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Integration of locally exponential Lie algebras of vector fields
In: Annals of Global Analysis and Geometry 33 (2008), S. 89-100
ISSN: 0232-704X
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A nonsmooth continuous unitary representation of a Banach-Lie group
In: Journal of Lie Theory 18 (2008), S. 933--936
ISSN: 0949-5932
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Finite-dimensional Lie subalgebras of algebras with continuous inversion
In: Studia Mathematica 185 (2008), S. 249-262
ISSN: 0039-3223
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On the cohomology of vector fields on parallelizable manifolds
In: Annales de l'Institut Fourier 58 (2008), S. 1937--1982
ISSN: 0373-0956
URL: http://aif.cedram.org/item?id=AIF_2008__58_6_1937_0
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Closedness of the tangent spaces to the orbits of proper actions
In: Journal of Lie Theory 18 (2008), S. 517--521
ISSN: 0949-5932
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A complex semigroup approach to group algebras of infinite dimensional Lie groups
In: Semigroup Forum 77 (2008), S. 5-35
ISSN: 0037-1912
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Lie group extensions associated to projective modules of continuous inverse algebras
In: Archivum Mathematicum 44 (2008), S. 465--489
ISSN: 0044-8753
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On the classification of rational quantum tori and the structure of their automorphism groups
In: Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques 51 (2008), S. 261 - 2812
ISSN: 0008-4395
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Lie Group structures on groups of smooth and holomorphic maps
In: Geometriae Dedicata 134 (2008), S. 17 - 60
ISSN: 0046-5755
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The second cohomology of current algebras of general Lie algebras
In: Canadian Journal of Mathematics-Journal Canadien De Mathematiques 60 (2008), S. 892--922
ISSN: 0008-414X
DOI: 10.4153/CJM-2008-038-6
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2007
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Semi-edges, reflections and Coxeter groups
In: Transactions of the American Mathematical Society 359 (2007), S. 3647-3668
ISSN: 0002-9947
DOI: 10.1090/S0002-9947-07-04040-8
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Non-abelian extensions of infinite-dimensional Lie groups
In: Annales de l'Institut Fourier 57 (2007), S. 209-271
ISSN: 0373-0956
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2006
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Non-abelian extensions of topological Lie algebras
In: Communications in Algebra 34 (2006), S. 991-1041
ISSN: 0092-7872
DOI: 10.1080/00927870500441973
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On triples in the Shilov boundaries of bounded symmetric domains
In: Transformation Groups 11 (2006), S. 387-426
ISSN: 1083-4362
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A topological Maslov index for 3-graded Lie groups
In: Journal of Functional Analysis 233 (2006), S. 426-477
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2005.06.024
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2005
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Projective Completions of Jordan Pairs, Part II: Manifold Structures and Symmetric Spaces
In: Geometriae Dedicata 112 (2005), S. 75-115
ISSN: 0046-5755
DOI: 10.1007/s10711-004-4197-6
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Addendum to "The universal central extension of the holomorphic current algebra"
In: Manuscripta Mathematica 116 (2005), S. 245-247
ISSN: 0025-2611
DOI: 10.1007/s00229-004-0510-9
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Derivations of locally simple Lie algebras
In: Journal of Lie Theory 15 (2005), S. 589-594
ISSN: 0949-5932
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2004
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Projective completions of Jordan pairs. Part I: The generalized projective geometry of a Lie algebra
In: Journal of Algebra 277 (2004), S. 474-519
ISSN: 0021-8693
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Abelian extensions of infinite-dimensional Lie groups
In: Travaux mathématiques 15 (2004), S. 69-194
ISSN: 1024-1833
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2003
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Banach-Lie quotients, enlargibility, and universal complexifications
In: Journal für die reine und angewandte Mathematik 560 (2003), S. 1-28
ISSN: 0075-4102
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Central extensions of current groups
In: Mathematische Annalen 326 (2003), S. 367-415
ISSN: 0025-5831
DOI: 10.1007/s00208-003-0425-x
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Locally convex root graded Lie algebras
In: Travaux mathématiques 14 (2003), S. 25-120
ISSN: 1024-1833
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On Cartan Subalgebras of gl∞
In: Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques 46 (2003), S. 597-616
ISSN: 0008-4395
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Flux Homomorphisms and Principal Bundles over Infinite Dimensional Manifolds
In: Monatshefte für Mathematik 139 (2003), S. 309–333
ISSN: 0026-9255
DOI: 10.1007/s00605-002-0001-6
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The universal central extension of the holomorphic current algebra
In: Manuscripta Mathematica 112 (2003), S. 441-458
ISSN: 0025-2611
DOI: 10.1007/s00229-003-0409-x
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2002
- , :
Spherical Unitary Highest Weight Representations
In: Transactions of the American Mathematical Society 354 (2002), S. 1233-1264
ISSN: 0002-9947
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A Cartan–Hadamard Theorem for Banach–Finsler Manifolds
In: Geometriae Dedicata 95 (2002), S. 115-156
ISSN: 0046-5755
DOI: 10.1023/A:1021221029301
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Central extensions of infinite-dimensional Lie groups
In: Annales de l'Institut Fourier 52 (2002), S. 1365-1442
ISSN: 0373-0956
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Universal Central Extensions of Lie Groups
In: Acta Applicandae Mathematicae 73 (2002), S. 175-219
ISSN: 0167-8019
DOI: 10.1023/A:1019743224737
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Representations in L2-Spaces on Infinite-Dimensional Symmetric Cones
In: Journal of Functional Analysis 190 (2002), S. 133-178
ISSN: 0022-1236
DOI: 10.1006/jfan.2001.3884
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2001
- , :
Vector valued Riesz distributions on Euclidian Jordan algebras
In: Journal of Geometric Analysis 11 (2001), S. 43-75
ISSN: 1050-6926
DOI: 10.1007/BF02921953
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Spherical functions on mixed symmetric spaces
In: Representation Theory 5 (2001), S. 43-92
ISSN: 1088-4165
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Invariant symmetric bilinear forms for reflection groups
In: Journal of Geometry 71 (2001), S. 99-127
ISSN: 0047-2468
DOI: 10.1007/s00022-001-8556-2
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Compressions of infinite-dimensional bounded symmetric domains
In: Semigroup Forum 63 (2001), S. 71-105
ISSN: 0037-1912
DOI: 10.1007/s002330010037
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Locally finite Lie algebras with unitary highes weight representations
In: Manuscripta Mathematica 104 (2001), S. 343-358
ISSN: 0025-2611
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On the classification of locally finite split simple Lie algebras
In: Journal für die reine und angewandte Mathematik 533 (2001), S. 25-53
ISSN: 0075-4102
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2000
- , :
Positive definite spherical functions on Olshanski domains
In: Transactions of the American Mathematical Society 352 (2000), S. 1345--1380
ISSN: 0002-9947
DOI: 10.1090/S0002-9947-99-02184-4
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Integrable roots in split graded Lie algebras
In: Journal of Algebra 225 (2000), S. 534--580
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.8108
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Invariant orders on Lie groups and converings of ordered homogeneous spaces
In: Monatshefte für Mathematik 131 (2000), S. 123-153
ISSN: 0026-9255
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Representation theory and convexity
In: Transformation Groups 5 (2000), S. 325-350
ISSN: 1083-4362
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Smooth vectors for highest weight representations
In: Glasgow Mathematical Journal 42 (2000), S. 469-477
ISSN: 0017-0895
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Supplements to the papers entitled "On a Theorem of S. Banach" and "the separable representations of U(H)"
In: Journal of Lie Theory 10 (2000), S. 107-109
ISSN: 0949-5932
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1999
- :
On the complex geometry of invariant domains in complexified symmetric spaces
In: Annales de l'Institut Fourier 49 (1999), S. 177--225
ISSN: 0373-0956
URL: http://www.numdam.org/item?id=AIF_1999__49_1_177_0
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1998
- :
Holomorphic highest weight representations of infinite-dimensional complex classical groups
In: Journal für die reine und angewandte Mathematik 497 (1998), S. 171--222
ISSN: 0075-4102
DOI: 10.1515/crll.1998.038
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On the complex and convex geometry of Olshanski semigroups
In: Annales de l'Institut Fourier 48 (1998), S. 149--203
ISSN: 0373-0956
URL: http://www.numdam.org/item?id=AIF_1998__48_1_149_0
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On weighted Hardy spaces on complex semigroups
In: Semigroup Forum 56 (1998), S. 392--417
ISSN: 0037-1912
DOI: 10.1007/PL00005954
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Operator-valued positive definite kernels on tubes
In: Monatshefte für Mathematik 126 (1998), S. 125--160
ISSN: 0026-9255
DOI: 10.1007/BF01473583
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Unitary highest weight representations in Hilbert spaces of holomorphic functions on infinite-dimensional domains
In: Journal of Functional Analysis 156 (1998), S. 263--300
ISSN: 0022-1236
DOI: 10.1006/jfan.1997.3233
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1997
- , , :
Spherical representations and mixed symmetric spaces
In: Representation Theory 1 (1997), S. 424--461 (electronic)
ISSN: 1088-4165
DOI: 10.1090/S1088-4165-97-00035-6
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A general non-linear convexity theorem
In: Forum Mathematicum 9 (1997), S. 613--640
ISSN: 0933-7741
DOI: 10.1515/form.1997.9.613
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Convexity properties of the coadjoint action of non-compact Lie groups
In: Mathematische Annalen 309 (1997), S. 625--661
ISSN: 0025-5831
DOI: 10.1007/s002080050131
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On a theorem of S. Banach
In: Journal of Lie Theory 7 (1997), S. 293--300
ISSN: 0949-5932
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On some classes of multiplicity free representations
In: Manuscripta Mathematica 92 (1997), S. 389--407
ISSN: 0025-2611
DOI: 10.1007/BF02678201
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On square integrable highest weight representations
In: Glasgow Mathematical Journal 39 (1997), S. 295--321
ISSN: 0017-0895
DOI: 10.1017/S0017089500032237
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1996
- , :
Orthogonal Lie algebras with cone potential
In: Communications in Algebra 24 (1996), S. 433--444
ISSN: 0092-7872
DOI: 10.1080/00927879608825579
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Spherical functions on Olshanski spaces
In: Journal of Functional Analysis 142 (1996), S. 446--493
ISSN: 0022-1236
DOI: 10.1006/jfan.1996.0156
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Conal Heisenberg algebras and associated Hilbert spaces
In: Journal für die reine und angewandte Mathematik 474 (1996), S. 67--112
ISSN: 1435-5345
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On hyperbolic cones and mixed symmetric spaces
In: Journal of Lie Theory 6 (1996), S. 69--146
ISSN: 0949-5932
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A note on central extensions of Lie groups
In: Journal of Lie Theory 6 (1996), S. 207--213
ISSN: 0949-5932
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Coherent states, holomorphic extensions, and highest weight representations
In: Pacific Journal of Mathematics 174 (1996), S. 497--542
ISSN: 0030-8730
URL: http://projecteuclid.org/euclid.pjm/1102365182
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Invariant convex sets and functions in Lie algebras
In: Semigroup Forum 53 (1996), S. 230--261
ISSN: 0037-1912
DOI: 10.1007/BF02574139
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Weakly exponential Lie groups
In: Journal of Algebra 179 (1996), S. 331--361
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0015
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Unitary highest weight representations via the orbit method I. The scalar case
In: Acta Applicandae Mathematicae 44 (1996), S. 151--184
ISSN: 0167-8019
DOI: 10.1007/BF00116520
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1995
- , :
Compression semigroups of open orbits in complex manifolds
In: Arkiv For Matematik 33 (1995), S. 293--322
ISSN: 0004-2080
DOI: 10.1007/BF02559711
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Compression semigroups of open orbits on real flag manifolds
In: Monatshefte für Mathematik 119 (1995), S. 187--214
ISSN: 0026-9255
DOI: 10.1007/BF01293670
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Groupoid C*-algebras of order compactified symmetric spaces
In: Japanese Journal of Mathematics 21 (1995), S. 117--188
ISSN: 0289-2316
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On the exponential function of an ordered manifold with affine connection
In: Mathematische Zeitschrift 218 (1995), S. 1--23
ISSN: 0025-5874
DOI: 10.1007/BF02571887
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Holomorphic Representation Theory I
In: Mathematische Annalen 301 (1995), S. 155-181
ISSN: 0025-5831
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Kähler structures and convexity properties of coadjoint orbits
In: Forum Mathematicum 7 (1995), S. 349-384
ISSN: 0933-7741
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On the convexity of the moment mapping for unitary highest weight representations
In: Journal of Functional Analysis 127 (1995), S. 301--325
ISSN: 0022-1236
DOI: 10.1006/jfan.1995.1014
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Maximality of compression semigroups
In: Semigroup Forum 50 (1995), S. 205--222
ISSN: 0037-1912
DOI: 10.1007/BF02573517
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Wiener-Hopf operators on ordered homogeneous spaces I
In: Journal of Functional Analysis 132 (1995), S. 86--118
ISSN: 0022-1236
DOI: 10.1006/jfan.1995.1101
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Epimorphisms of C*-algebras are surjective
In: Archiv der Mathematik 65 (1995), S. 134--137
ISSN: 0003-889X
DOI: 10.1007/BF01270691
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1994
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Symplectic convexity theorems and coadjoint orbits
In: Compositio Mathematica 94 (1994), S. 129 - 180
ISSN: 0010-437X
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The geometry of nilpotent orbits of convex type in hermitian Lie algebras
In: Journal of Lie Theory 4 (1994), S. 185-235
ISSN: 0949-5932
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A convexity theorem for semisimple symmetric spaces
In: Pacific Journal of Mathematics 162 (1994), S. 305 - 349
ISSN: 0030-8730
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Contraction semigroups and representations
In: Forum Mathematicum 6 (1994), S. 233 - 270
ISSN: 0933-7741
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Correction to: ``A convexity theorem for semisimple symmetric spaces''
In: Pacific Journal of Mathematics 166 (1994), S. 401
ISSN: 0030-8730
URL: http://projecteuclid.org/euclid.pjm/1102621146
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Holomorphic Representation Theory II
In: Acta Mathematica 173 (1994), S. 103-133
ISSN: 0001-5962
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On closedness and simple connectedness of adjoint and coadjoint orbits
In: Manuscripta Mathematica 82 (1994), S. 51-65
ISSN: 0025-2611
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Representations of involutive semigroups
In: Semigroup Forum 48 (1994), S. 197 - 218
ISSN: 0037-1912
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The classification of Lie algebras with invariant cones
In: Journal of Lie Theory 4 (1994), S. 1-46
ISSN: 0949-5932
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1993
- , :
On wedges in Lie triple systems and ordered symmetric spaces
In: Geometriae Dedicata 46 (1993), S. 1 - 34
ISSN: 0046-5755
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1992
- :
On the foundations of Lie semigroups
In: Journal für die reine und angewandte Mathematik (1992), S. 165 - 189
ISSN: 0075-4102
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On the fundamental group of a Lie semigroup
In: Glasgow Mathematical Journal (1992), S. 379 - 394
ISSN: 0017-0895
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The dualty between subsemigroups of Lie groups and monotone functions
In: Transactions of the American Mathematical Society 329 (1992), S. 653 - 677
ISSN: 0002-9947
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1991
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Conal orders on homogeneous spaces
In: Inventiones Mathematicae 134 (1991), S. 467 - 496
ISSN: 0020-9910
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Monotone functions on symmetric spaces
In: Mathematische Annalen 291 (1991), S. 261 - 273
ISSN: 0025-5831
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Objects dual to subsemigroups of groups
In: Monatshefte für Mathematik 122 (1991), S. 303 - 321
ISSN: 0026-9255
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Semigroups in the universal covering group of SL (2)
In: Semigroup Forum 43 (1991), S. 33 - 43
ISSN: 0037-1912
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1990
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Globality in semisimple Lie groups
In: Annales de l'Institut Fourier 40 (1990), S. 493-536
ISSN: 0373-0956
BibTeX: Download
Unveröffentlichte Publikationen / Preprints
Es wurden leider keine Publikationen gefunden.
Beiträge in Sammelwerken
2025
- , , :
Nets of Standard Subspaces on Non-compactly Causal Symmetric Spaces
DOI: 10.1007/978-981-97-7662-7_5
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2023
- , :
Algebraic Quantum Field Theory and Causal Symmetric Spaces
In: Kielanowski, P., Dobrogowska, A., Goldin, G.A., Goliński, T. (Hrsg.): Geometric Methods in Physics XXXIX. WGMP 2022, Springer Science and Business Media Deutschland GmbH, 2023, S. 207-231 (Trends in Mathematics, Bd.Part F1183)
DOI: 10.1007/978-3-031-30284-8_20
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2018
- :
Kähler Geometry, Momentum Maps and Convex Sets
In: Yat-Sun Poon, Shing-Tung Yau, Lizhen Ji (Hrsg.): Tsinghua Lectures in Mathematics, Boston: Higher Education Press in China International Press of Boston, 2018, S. 361-391 (Advanced Lectures in Mathematics ALM, Bd.45)
ISBN: 978-1571463722
URL: https://arxiv.org/abs/1510.03289
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On the geometry of standard subspaces
In: Jens Gerlach Christensen, Colgate University, Hamilton, NY, Susanna Dann, Vienna University of Technology, Wien, Austria and Matthew Dawson, CIMAT, Mérida, Mexico (Hrsg.): Representation Theory, Symmetric Spaces, and Integral Geometry, 2018, S. 199-223 (Contemporary Mathematics, Bd.714)
ISBN: 978-1-4704-4070-1
DOI: 10.1090/conm/714
URL: https://arxiv.org/abs/1707.05506
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2017
- :
50th Seminar Sophus Lie Seminar
In: K. Grabowska, J. Grabowski, A. Fialowski, K.-H. Neeb (Hrsg.): Banach Center Publications, Polish Academy of Sciences, Warszawa, 2017
ISBN: 9788386806379
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Bounded and Semi-bounded Representations of Infinite Dimensional Lie Groups
In: Henning Krause, Peter Littelmann, Gunter Malle, Karl-Hermann Neeb, Christoph Schweigert (Hrsg.): Representation Theory - Current Trends and Perspectives, Zürich: European Mathematical Society EMS, 2017, S. 541-563 (EMS Congress Reports)
ISBN: 978-3-03719-171-2
DOI: 10.4171/171
URL: https://arxiv.org/abs/1510.08695
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Covariant central extensions of gauge Lie algebras
In: S. Albeverio, A. B. Cruzeiro, D. Holm (Hrsg.): Stochastic Geometric Mechanics, Springer, 2017, S. 101-114 (Springer Proceedings in Mathematics & Statistics, Bd.202)
ISBN: 978-3-319-63452-4
URL: https://arxiv.org/abs/1510.07938
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Antiunitary representations and modular theory
In: 50th Seminar "Sophus Lie", 2017, S. 291-362 (Banach Center Publications, Bd.113)
DOI: 10.4064/bc113-0-16
URL: https://arxiv.org/abs/1704.01336
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2016
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Momentum maps for smooth projective unitary representations
In: Kielanowski P., Bieliavsky P., Odesskii A., Odzijewicz A., Schlichenmaier M., Voronov T. (Hrsg.): Geometric Methods in Physics. XXXIV Workshop 2015, Springer-Birkhäuser, 2016, S. 115-127 (Trends in Mathematics, Bd.II)
ISBN: 978-3-319-31755-7
DOI: 10.1007/978-3-319-31756-4_12
URL: https://arxiv.org/abs/1510.08257
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2015
- , , :
Weak Poisson structures on infinite dimensional manifolds and hamiltonian actions
In: V. Dobrev (Hrsg.): Springer Proceedings in Mathematics & Statistics, Springer Japan, 2015, S. 105-136
ISBN: 978-4-431-55284-0
URL: https://arxiv.org/abs/1402.6818
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2014
- :
Unitary representations of Unitary Groups
In: G. Mason, I. Penkov, J. Wolf (Hrsg.): Lie theory workshops, Springer, 2014, S. 197 - 243 (Developmenst in Mathematics, Bd.37)
ISBN: 978-3-319-09933-0
DOI: 10.1007/978-3-319-09934-7_8
URL: https://arxiv.org/abs/1308.1500
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2013
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Holomorphic Realization of Unitary Representations of Banach-Lie Groups
In: Huckleberry, A., Penkov, I., Zuckerman, G. (Hrsg.): Lie Groups: Structure, Actions and Representations - In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday, New York: Springer, 2013, S. 185 - 223 (Progress in Mathematics, Bd.306)
ISBN: 978-1-4614-7192-9
DOI: 10.1007/978-1-4614-7193-6_10
URL: https://arxiv.org/abs/1011.1210
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2011
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Lie groups of bundle automorphisms and their extensions
In: K.-H. Neeb; A. Pianzola (Hrsg.): Developments and trends in infinite-dimensional Lie theory, Birkhäuser Boston, Inc., Boston, MA, 2011, S. 281--338 (Progr. Math., Bd.288)
DOI: 10.1007/978-0-8176-4741-4_9
URL: https://arxiv.org/abs/0709.1063
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Lie supergroups, unitary representations, and invariant cones
In: R. Fioresi, S. Ferrara, V.S. Varadarajan (Hrsg.): Supersymmetry in mathematics and physics, Springer, Heidelberg, 2011, S. 195--239 (Lecture Notes in Math., Bd.2027)
DOI: 10.1007/978-3-642-21744-9_10
URL: https://arxiv.org/abs/1012.2809
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2010
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Unitary highest weight modules of locally affine Lie algebras
In: Y. Gao et at (Hrsg.): Quantum affine algebras, extended affine Lie algebras, and their applications, Amer. Math. Soc., Providence, RI, 2010, S. 227--262 (Contemp. Math., Bd.506)
DOI: 10.1090/conm/506/09943
URL: https://arxiv.org/abs/0904.0134
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2009
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Semi-bounded unitary representations of infinite-dimensional Lie groups
In: J. Hilgert et al (Hrsg.): Infinite dimensional harmonic analysis {IV}, World Sci. Publ., Hackensack, NJ, 2009, S. 209--222
DOI: 10.1142/9789812832825_0015
URL: https://arxiv.org/abs/0804.3484
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1998
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Invariant cones in real representations
In: J. Hilgert et al. (Hrsg.): Positivity in Lie theory: open problems, de Gruyter, Berlin, 1998, S. 99--119 (de Gruyter Expositions in Mathematics, Bd.26)
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Some open problems in representation theory related to complex geometry
In: Positivity in Lie theory: open problems, de Gruyter, Berlin, 1998, S. 195--220 (de Gruyter Exp. Math., Bd.26)
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1996
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A Duistermaat-Heckman formula for admissible coadjoint orbits
In: H.-D. Doebner et al. (Hrsg.): Lie theory and its applications in physics (Clausthal, 1995), World Sci. Publ., River Edge, NJ, 1996, S. 15--35
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1995
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Symplectic convexity theorems, Lie semigroups, and unitary representations
In: K. H. Hofmann et al. (Hrsg.): Semigroups in algebra, geometry and analysis (Oberwolfach, 1993), de Gruyter, Berlin, 1995, S. 201--240 (de Gruyter Expositions in Mathematics, Bd.20)
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Holomorphic representations of Olshanski semigroups
In: K.H. Hofmann et al. (Hrsg.): Semigroups in algebra, geometry and analysis (Oberwolfach, 1993), de Gruyter, Berlin, 1995, S. 241--271 (de Gruyter Exp. Math., Bd.20)
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1994
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Poisson Lie groups and non-linear convexity theorems
In: H.-D. Doebner et al. (Hrsg.): Generalized symmetries in physics (Clausthal, 1993), World Sci. Publ., River Edge, NJ, 1994, S. 395--410
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Holomorphic representations and coherent states
In: J.-P. Antoine et al. (Hrsg.): Quantization and infinite-dimensional systems (Bialowieza, 1993), Plenum, New York, 1994, S. 79--86
DOI: 10.1007/978-1-4615-2564-6_9
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A general setting for Wiener-Hopf operators
In: 75 years of Radon transform (Vienna, 1992), Int. Press, Cambridge, MA, 1994, S. 189--208 (Conf. Proc. Lecture Notes Math. Phys., IV)
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Bücher
2018
- , :
Reflection Positivity - A Representation Theoretic Perspective
Springer International Publishing, 2018
(Springer Briefs in Mathematical Physcis, Bd.32)
ISBN: 978-3-319-94754-9
DOI: 10.1007/978-3-319-94755-6
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2012
- , :
Structure and geometry of Lie groups
Springer, New York, 2012
(Springer Monographs in Mathematics)
ISBN: 978-0-387-84793-1
DOI: 10.1007/978-0-387-84794-8
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2000
- :
Holomorphy and convexity in Lie theory
Walter de Gruyter & Co., Berlin, 2000
(Expositions in Mathematics, Bd.28)
ISBN: 3-11-015669-5
DOI: 10.1515/9783110808148
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1993
- , :
Lie Semigroups and their Applications
Springer-Verlag, 1993
(Lecture Notes in Math., Bd.1552)
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Invariant Subsemigroups of Lie Groups
1993
(Memoirs of the Amer. Math. Soc., Bd.499)
BibTeX: Download
1991
- , :
Lie-Gruppen und Lie-Algebren
Vieweg Verlag, 1991
(Memoirs of the American Mathematical Society)
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Herausgegebene Bände
2024
- , , , :
Standard Subspaces in Quantum Field Theory and Representation Theory
2024
(Oberwolfach Reports, Bd.20)
DOI: 10.14760/OWR-2023-50
URL: https://publications.mfo.de/handle/mfo/4092
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2017
- , , , , :
Representation Theory - Current Trends and Perspectives
Zürich: European Mathematical Society, 2017
(EMS Congress Reports)
ISBN: 978-3-03719-171-2
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50th Seminar "Sophus Lie" dedicated to Professor Karl Heinrich Hofmann on the occasion of his 85th birthday
2017
(Banach Center Publications, Bd.113)
ISBN: 978-83-86806-37-9
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Abschlußarbeiten
1993
- :
Holomorphic Representation Theory and Coadjoint Orbits of Convexity Type (Habilitationsschrift, 1993)
BibTeX: Download
1989
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Globality of Lie Wedges (Dissertation, 1989)
BibTeX: Download
Nets of real subspaces on homogeneous spaces and Algebraic Quantum Field Theory
Funktionentheorie II, WS 21/22
Einführung in die Darstellungstheorie, SS 15
Unitary Representation Theory, SS 14
Differential Topology of Fiber Bundles, SS 10
An Introduction to Unitary Representations of Lie Groups, SS 10
An Introduction to Topology, SS 10
Manifolds and Transformation Groups, WS 05/06
Laufendes Projekt
Deutsche Forschungsgemeinschaft (DFG)
Netze von Standard-Unterräumen auf kausalen symmetrischen Räumen, NE 413/10-2
Vergangene Projekte
Deutsche Forschungsgemeinschaft (DFG)
Geordnete Dilationsräume und Geometrie von Standard-Unterräumen, NE 413/10-1
Invariante Konvexitaet in unendlich-dimensionalen Lie-Algebren, NE 413/9-1
Semibounded unitary representations of infinite dimensional Lie groups, NE 413/7-2, DFG Priority Programme 1388 Representation Theory (Karl-Hermann Neeb, Christoph Zellner)
Semibounded unitary representations of infinite dimensional Lie groups, NE 413/7-1, DFG Priority Programme 1388 Representation Theory (Karl-Hermann Neeb, Christoph Zellner)
Alexander-von-Humboldt-Stiftung
Dr. Maria Stella Adamo von der University Tokyo, Japan, forschte von Mai 2024 bis April 2026 mit einem Forschungsstipendium für Postdocs am Lehrstuhl für Lie-Gruppen und Darstellungstheorie. Während ihres Aufenthaltes untersuchte Dr. Adamo Eigenschaften mathematischer Realisierungen von Symmetrien im Kontext der Quantenphysik. Eine dieser Eigenschaften ist die sogenannte Reflexionspositivität, die nach der Positivität in Bezug auf eine Spiegelung der Raumzeit fragt. Die Reflexionspositivität kann genutzt werden, um Quantenmodelle in verschiedenen mathematischen Beschreibungen zu untersuchen. Dr. Adamo beabsichtigte, eine Klasse von Modellen mit vielen Symmetrien zu konstruieren, die sogenannten konformen Symmetrien. Sie hat Quantenfelder konstruiert, indem sie die Reflexionspositivität und die Korrespondenz zwischen klassischen Modellen und Quantenmodellen nutzte. Darüber hinaus untersuchte Dr. Adamo, wann Verformungen von Zuständen in der Quantenfeldtheorie (QFT), die ein thermischen Gleichgewicht beschreiben, wieder thermische Zustände erzeugen.
Sonstige
Representation theory of generalized affine Lie algebras, Mercator Visiting Fellowship (Karl-Hermann Neeb, Erhard Neher)
Emerging Field Project Quantum Geometry (Klaus Mecke, Catherine Meusburger, Karl-Hermann Neeb, Thomas Thiemann)
Zukünftiger Workshop
62th Seminar Sophus Lie, Erlangen, October 06-08 2026
Vergangene Workshops
58th Seminar Sophus Lie, Erlangen, March 9-10 2023
49th Seminar Sophus Lie, Erlangen, September 22-25 2015
Infinite-dimensional Structures in Higher Geometry and Representation Theory, Hamburg, February 16-20 2015
Third Erlangen Fall School on Quantum Geometry, Erlangen, September 15-18 2014
Second Erlangen Fall School on Quantum Geometry, Erlangen, October 7-11 2013
Representations of Lie Groups and Supergroups, Oberwolfach, March 10-16 2013
Conference of the DFG Priority Programme 1388 Representation Theory, Erlangen, March 20-23 2012
DFG-JSPS Seminar Lie Groups: Geometry and Analysis (NE 413/8-1), Paderborn, September 4-10 2011
41th Seminar Sophus Lie, Erlangen, July 15-16 2011
International Workshop and Conference on Infinite-Dimensional Lie Theory and its Applications, Tehran, Iran, May 10-17 2011
Conference of the DFG Priority Programme 1388 Representation Theory, Münster, March 1-4 2011
Representations of Lie Groups and Algebraic Groups, Erlangen, September 14-17 2010
Conference of the DFG Priority Programme 1388 Representation Theory, Bad Honnef, April 6-10 2010