Jawdat, Jamila and Plymen, Roger (2009) R-groups and geometric structure in the representation theory of SL(N). [MIMS Preprint]
![[thumbnail of JP90.pdf]](https://eprints.maths.manchester.ac.uk/style/images/fileicons/application_pdf.png) |
PDF
JP90.pdf Download (190kB) |
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 2010, the AMS's Mathematics Subject Classification > 22 Topological groups, Lie groups MSC 2010, the AMS's Mathematics Subject Classification > 46 Functional analysis |
| Depositing User: | Professor Roger Plymen |
| Date Deposited: | 09 Oct 2009 |
| Last Modified: | 08 Nov 2017 18:18 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1318 |
Actions (login required)
 |
View Item |