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

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dc.creatorSlooten, K.
dc.date2005-11-08
dc.date.accessioned2026-07-07T06:50:59Z
dc.date.available2026-07-07T06:50:59Z
dc.descriptionRecently 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.
dc.description28 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math/0511206
dc.identifierhttp://arxiv.org/abs/math/0511206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104840
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subject20C08
dc.titleReducibility of induced discrete series representations for affine Hecke algebras of type B
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