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

Jamila Jawdat; Roger Plymen

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

K-Theory and Homology 2009-10-01 v5 Representation Theory

Authors: Jamila Jawdat , Roger Plymen

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 [3].

Keywords

r-group geometric structure representation theory sl(n) elliptic representations k-theory nonarchimedean local field

Cite

@article{arxiv.math/0612273,
  title  = {R-groups and geometric structure in the representation theory of SL(N)},
  author = {Jamila Jawdat and Roger Plymen},
  journal= {arXiv preprint arXiv:math/0612273},
  year   = {2009}
}

Comments

16 pages. Final version, to be published in the Journal of Noncommutative Geometry

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

Abstract

Keywords

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