Categories derivees et varietes de Deligne-Lusztig
| dc.creator | Bonnafe, Cedric | |
| dc.creator | Rouquier, Raphael | |
| dc.date | 2002-01-16 | |
| dc.date.accessioned | 2026-07-07T04:45:54Z | |
| dc.date.available | 2026-07-07T04:45:54Z | |
| dc.description | We prove a conjecture of Broue about the Jordan decomposition of blocks of finite reductive groups. We show that a block of a finite connected reductive group, in non-describing characteristic, is Morita-equivalent to a quasi-isolated block of a Levi subgroup. This involves showing that some local system over a Deligne-Lusztig variety has its mod l cohomology concentrated in one degree. We reduce this question to a question about tamely ramified local systems by proving that the category of perfect complexes for the group is generated by the images of the Deligne-Lusztig functors. Then, we describe the ramification at infinity of local systems associated to characters of tori. | |
| dc.description | 54 pages, French | |
| dc.identifier | https://arxiv.org/abs/math/0201146 | |
| dc.identifier | http://arxiv.org/abs/math/0201146 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63128 | |
| dc.subject | Representation Theory | |
| dc.subject | 20G40 | |
| dc.title | Categories derivees et varietes de Deligne-Lusztig | |
| dc.type | text |