On the irreducibility of Deligne-Lusztig varieties
| dc.creator | Bonnafé, Cédric | |
| dc.creator | Rouquier, Raphaël | |
| dc.date | 2006-01-16 | |
| dc.date | 2006-04-12 | |
| dc.date.accessioned | 2026-07-07T09:48:29Z | |
| dc.date.available | 2026-07-07T09:48:29Z | |
| dc.description | Let $G$ be a connected reductive algebraic group defined over an algebraic closure of a finite field and let $F : G \to G$ be an endomorphism such that $F^d$ is a Frobenius endomorphism for some $d \geq 1$. Let $P$ be a parabolic subgroup of $G$ admitting an $F$-stable Levi subgroup. We prove that the Deligne-Lusztig variety $\{gP | g^{-1}F(g)\in P\cdot F(P)\}$ is irreducible if and only if $P$ is not contained in a proper $F$-stable parabolic subgroup of $G$. | |
| dc.description | 4 pages | |
| dc.identifier | https://arxiv.org/abs/math/0601373 | |
| dc.identifier | http://arxiv.org/abs/math/0601373 | |
| dc.identifier | Comptes Rendus de l Académie des Sciences - Series I - Mathematics 343 (2006) 37-39 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164230 | |
| dc.subject | Group Theory | |
| dc.title | On the irreducibility of Deligne-Lusztig varieties | |
| dc.type | text |