Reducibility of induced discrete series representations for affine Hecke algebras of type B

Details Reducibility of induced discrete series representations for affine Hecke algebras of type B Reducibility of induced discrete series representations for affine Hecke algebras of type B

2005-11-08

arxiv.org/abs/math/0511206v1

Mathematics

Representation Theory

28 pages, 3 figures

Scientific paper

Recently Delorme and Opdam have generalized the theory of R-groups towards affine Hecke algebras with unequal labels. We apply their results in the case where the affine Hecke algebra is of type B, for an induced discrete series representation with real central character. We calculate the R-group of such an induced representation, and show that it decomposes multiplicity free into 2^d irreducible summands. The power d can be calculated combinatorially.

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