Classification et changement de base pour les séries discrètes des groupes unitaires p-adiques

Colette Mœglin

Vol. 233 (2007), No. 1, 159–204

DOI: 10.2140/pjm.2007.233.159

Abstract

In this paper we gives the Langlands classification of discrete series using the base change for unitary quasi-split groups and Arthur’s idea. This gives a very nice classification of the cuspidal irreducible representations which was not predict by standard conjectures.

Keywords

representations of unitary p-adic groups, Langlands classification, cuspidal representations of unitary groups, discrete series of unitary groups

Mathematical Subject Classification 2000

Primary: 22E50, 20G05

Milestones

Received: 8 January 2007

Accepted: 7 September 2007

Published: 1 November 2007