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Emmy-Noether-Seminar

Jun 14
14-06-2019 14:30 Uhr bis 15:30 Uhr
Raum 04.363, Cauerstraße 11, Erlangen

The „generatingfunctionology“ of Clebsch-Gordan coefficients

Robert Donley (New York)

Abstract: In particle physics, Clebsch-Gordan coefficients play a central role in the theory of angular momentum, where they represent probabilities for coupled systems. By switching from orthonormal bases to ones better suited to representation theory, one obtains a theory over the integers with a strong combinatorial nature. New features include hexagonal difference tables, Catalan numbers, and a partition on the set of 3×3 semi-magic squares.