Coxeter orbits and modular representations
| dc.creator | Bonnafé, Cédric | |
| dc.creator | Rouquier, Raphaël | |
| dc.date | 2005-11-30 | |
| dc.date | 2006-03-15 | |
| dc.date.accessioned | 2026-07-07T09:48:28Z | |
| dc.date.available | 2026-07-07T09:48:28Z | |
| dc.description | We study the modular representations of finite groups of Lie type arising in the cohomology of certain quotients of Deligne-Lusztig varieties associated with Coxeter elements. These quotients are related to Gelfand-Graev representations and we present a conjecture on the Deligne-Lusztig restriction of Gelfand-Graev representations. We prove the conjecture for restriction to a Coxeter torus. We deduce a proof of Broué's conjecture on equivalences of derived categories arising from Deligne-Lusztig varieties, for a split group of type $A\_n$ and a Coxeter element. Our study is based on Lusztig's work in characteristic 0. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math/0511737 | |
| dc.identifier | http://arxiv.org/abs/math/0511737 | |
| dc.identifier | Nagoya Mathematical Journal 183 (2006) 1-34 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164229 | |
| dc.subject | Representation Theory | |
| dc.subject | 20C33, 20C20 | |
| dc.title | Coxeter orbits and modular representations | |
| dc.type | text |