Journal Article

Induced Discrete Series Representations for Hecke Algebras of Types and

K. Slooten

in International Mathematics Research Notices

Volume 2008, issue Published in print January 2008 | ISSN: 1073-7928
Published online January 2008 | e-ISSN: 1687-0247 | DOI: https://dx.doi.org/10.1093/imrn/rnn023
Induced Discrete Series Representations for Hecke Algebras of Types  and

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Recently, Delorme and Opdam [7] 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 or , and the induced discrete series representation has positive central character. We show that the R-group of such an induced representation is isomorphic to , and that the representation decomposes multiplicity-free into irreducible summands. The number d is calculated by combinatorial means.

Journal Article.  0 words. 

Subjects: Mathematics ; Pure Mathematics

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