Paquets d'Arthur discrets pour un groupe classique p-adique
Abstract
In this paper we construct some packets of representations which have to correspond to relatively general Arthurs packets; this is for any classical group over a p-adic field . An Arthur's packet correspond to a map from into the -group of . The packets we consider here have the property that the centralizer of 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 and a character of the centralizer of in the L-group in the Grothendieck group. Stability properties follow easily from analogous properties for the tempered packet which enter the situation.
Keywords
Cite
@article{arxiv.math/0412315,
title = {Paquets d'Arthur discrets pour un groupe classique p-adique},
author = {Colette Moeglin},
journal= {arXiv preprint arXiv:math/0412315},
year = {2007}
}
Comments
Octobre 2004