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2009.60: R-groups and geometric structure in the representation theory of SL(N)

2009.60: Jamila Jawdat and Roger Plymen (2009) R-groups and geometric structure in the representation theory of SL(N).

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Abstract

Let $F$ be a nonarchimedean local field of characteristic zero and let $SL(N) = SL(N,F)$. 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 \cite{ABP}.

Item Type:MIMS Preprint
Uncontrolled Keywords:Local fields, special linear group, elliptic representations
Subjects:MSC 2000 > 22 Topological groups, Lie groups
MSC 2000 > 46 Functional analysis
MIMS number:2009.60
Deposited By:Professor Roger Plymen
Deposited On:09 October 2009

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