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

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


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].

1661-6952
265-279
Jawdat, Jamila
b2ac3325-5905-4717-a929-45725f40b4b0
Plymen, Roger
76de3dd0-ddcb-4a34-98e1-257dddb731f5
Jawdat, Jamila
b2ac3325-5905-4717-a929-45725f40b4b0
Plymen, Roger
76de3dd0-ddcb-4a34-98e1-257dddb731f5

Jawdat, Jamila and Plymen, Roger (2010) R-groups and geometric structure in the representation theory of SL(N). Journal of Noncommutative Geometry, 4 (2), 265-279. (doi:10.4171/JNCG/55).

Record type: Article

Abstract



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].

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Published date: 2010
Organisations: Pure Mathematics

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Local EPrints ID: 176137
URI: http://eprints.soton.ac.uk/id/eprint/176137
ISSN: 1661-6952
PURE UUID: ba23f395-6502-41e4-b876-b15f97955061

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Date deposited: 09 Mar 2011 15:05
Last modified: 14 Mar 2024 02:38

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Contributors

Author: Jamila Jawdat
Author: Roger Plymen

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