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R-groups and geometric structure in the representation theory of SL(N)

By Jamila Jawdat and Roger Plymen


<br/><br/>Let F be a nonarchimedean local field of characteristic zero and let G = SL(N) = SL(N,F). This article is devoted to studying the influence of the elliptic representations of SL(N) on the K-theory. We provide full arithmetic details. This study reveals an intricate geometric structure. One point of interest is that the R-group is realized as an isotropy group. Our results illustrate, in a special case, part (3) of the recent conjecture in [2]. <br/><br/

Topics: QA
Year: 2010
OAI identifier:
Provided by: e-Prints Soton

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