International Mathematics Research Notices

International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn023, 41 pages, doi:10.1093/imrn/rnn023 published on April 11, 2008

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© The Author 2008. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org

Induced Discrete Series Representations for Hecke Algebras of Types and

K. Slooten

Department of Mathematics, Utrecht University, Budapestlaan 6, P.O. Box 80010, 3508 TA Utrecht, The Netherlands

Correspondence: Correspondence to be sent to: slooten{at}math.uu.nl

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.

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This Article Abstract Full Text (PDF) Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Add to My Personal Archive Download to citation manager Request Permissions How to cite this article Google Scholar Articles by Slooten, K. Social Bookmarking          What's this?