Distributions invariantes sur les groupes reductifs quasi-deployes
| dc.creator | Courtes, Francois | |
| dc.date | 2003-04-08 | |
| dc.date.accessioned | 2026-07-07T04:56:43Z | |
| dc.date.available | 2026-07-07T04:56:43Z | |
| dc.description | Let $F$ be a nonarchimedean local field, and $G$ the group of $F$-points of a c onnected quasisplit reductive group defined on $F$; in this paper, we will study the distributions on $G$ which are invariant by conjugation, and the vector spa ce of their restrictions to the Hecke algebra $\mathcal{H}$ of the functions on $G$ with compact support and biinvariant by a given Iwahori subgroup $I$. It is first shown that such a distribution on $\mathcal{H}$ is entirely determined by its restriction to the finite-diimensional subspace of $\mathcal{H}$ containing the elements with support in the union of the parahoric subgroups of $G$ contai ning $I$; this property is then used, by establishing similar results on finite groups, to show, with some conditions on $G$, that this space is generated both by some semisimple orbital integrals and by unipotent integrals. | |
| dc.description | 124 pages, in French | |
| dc.identifier | https://arxiv.org/abs/math/0304109 | |
| dc.identifier | http://arxiv.org/abs/math/0304109 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67020 | |
| dc.subject | Group Theory | |
| dc.subject | 22E35 (primary) 20G40 (secondary) | |
| dc.title | Distributions invariantes sur les groupes reductifs quasi-deployes | |
| dc.type | text |