Erschienen:
Institute of Mathematics, University of Tsukuba, 2009
Erschienen in:
Tsukuba Journal of Mathematics, 33 (2009) 2, Seite 189-237
Sprache:
Englisch
ISSN:
0387-4982
Entstehung:
Anmerkungen:
Beschreibung:
We study the branching rule for the restriction from a complex simple Lie group G to the normalizer of a maximal torus of G. We show that the problem is reduced to the determination of the Weyl group module structures induced on the zero weight spaces of representations of semisimple Lie groups. The concrete formulas are obtained for SL(n, C) in terms of generalized q-binomial coefficients and Schur functions.