Paquets d'Arthur discrets pour un groupe classique p-adique
| dc.creator | Moeglin, Colette | |
| dc.date | 2004-12-16 | |
| dc.date.accessioned | 2026-07-07T05:15:21Z | |
| dc.date.available | 2026-07-07T05:15:21Z | |
| dc.description | In this paper we construct some packets of representations which have to correspond to relatively general Arthurs packets; this is for any classical group $G$ over a p-adic field $F$. An Arthur's packet correspond to a map $ψ$ from $W_{F} \times SL(2,{\mathbb C}) \times SL(2,{\mathbb C})$ into the $L$-group of $G$. The packets we consider here have the property that the centralizer of $ψ$ in the dual group is a finite groupe. Our construction is a combinatorial one which reduce the study of the representations in such a packet to tempered representation of eventualy smaller groups; in fact we give a precise description of the representations associated to $ψ$ and a character of the centralizer of $ψ$ in the L-group in the Grothendieck group. Stability properties follow easily from analogous properties for the tempered packet which enter the situation. | |
| dc.description | Octobre 2004 | |
| dc.identifier | https://arxiv.org/abs/math/0412315 | |
| dc.identifier | http://arxiv.org/abs/math/0412315 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73599 | |
| dc.subject | Group Theory | |
| dc.subject | 2.2e+51 | |
| dc.title | Paquets d'Arthur discrets pour un groupe classique p-adique | |
| dc.type | text |