Emmy-Noether-Seminar: An intertwining operator for dihedral groups

An intertwining operator for dihedral groups

Robert Donley (New York)

Abstract: In the study of Clebsch-Gordan coefficients for SU(2), Regge observed that the domain space consists of semi-magic squares of size three and that Clebsch-Gordan coefficients transform in accordance with the usual determinant symmetries. These squares are fairly well-understood from a combinatorial viewpoint through permutation matrices. Changing the point of view to representations of finite groups, we use an intertwining operator on dihedral groups for two purposes: to determine the generating function for enumerating points on the corresponding permutation polytopes, and to give a representation theoretic description of a generalization of the algebra of circulant matrices.

(please contact bartvs@math for the information to join the online seminar)