Representations of reductive groups over finite rings and extended Deligne-Lusztig varieties
| dc.creator | Stasinski, Alexander | |
| dc.date | 2004-03-28 | |
| dc.date.accessioned | 2026-07-07T05:06:50Z | |
| dc.date.available | 2026-07-07T05:06:50Z | |
| dc.description | In a previous paper it was shown that a certain family of varieties suggested by Lusztig, is not enough to construct all irreducible complex representations of reductive groups over finite rings coming from the ring of integers in a local field, modulo a power of the maximal ideal. In this paper we define a generalisation of Lusztig's varieties, corresponding to an extension of the maximal unramified extension of the local field. We show in a particular case that all irreducible representations appear in the cohomology of some extended variety. We conclude with a discussion about reformulation of Lusztig's conjecture. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0403487 | |
| dc.identifier | http://arxiv.org/abs/math/0403487 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70627 | |
| dc.subject | Representation Theory | |
| dc.subject | Number Theory | |
| dc.title | Representations of reductive groups over finite rings and extended Deligne-Lusztig varieties | |
| dc.type | text |