Algebres de Hecke affines generiques
| dc.creator | Vigneras, Marie-France | |
| dc.date | 2003-01-07 | |
| dc.date | 2004-07-18 | |
| dc.date.accessioned | 2026-07-07T04:54:18Z | |
| dc.date.available | 2026-07-07T04:54:18Z | |
| dc.description | Let $H$ be a generic affine Hecke algebra (Iwahori-Matsumoto definition) over a polynomial algebra with a finite number of indeterminates over the ring of integers. We prove the existence of an integral Bernstein-Lusztig basis related to the Iwahori-Matsumoto basis by a strictly upper triangular matrix, from which we deduce that the center $Z$ of $H$ is finitely generated and that $H$ is a finite type $Z$-module (this was proved after inversion of the parameters by Bernstein-Lusztig), and we give some applications to the theory of $H$-modules where the parameters act by 0. These results are related to the smooth $p$-adic or mod $p$ representations of reductive $p$-adic groups. We introduce the supersingular modules of the affine Hecke algebra of GL(n) with parameter 0, probably analogues of the Barthel-Livne supersingular mod $p$ representations of GL(2). | |
| dc.identifier | https://arxiv.org/abs/math/0301058 | |
| dc.identifier | http://arxiv.org/abs/math/0301058 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66199 | |
| dc.subject | Representation Theory | |
| dc.subject | Quantum Algebra | |
| dc.subject | 22E50 | |
| dc.title | Algebres de Hecke affines generiques | |
| dc.type | text |