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

Colette Moeglin (1)

1 IMJ - Institut de Mathématiques de Jussieu

This paper deals with the Langlands' classification for discrete series of unitary quasi-split p-adic groups. We show that such a classification follows from Arthur's work on the simple trace formula which we can use now thanks to Laumon-Ngo's proof of the fundamental lemma and Waldspurger's work on the consequences of it on the transfer.

Mots clés: unitary groups; discrete series; Langlands classification

Domaines: Théorie des groupes [math.GR]

Colette Moeglin. Classification et changement de bases pour les séries discrètes des groupes unitaires p-adiques.. 2006. ⟨hal-00110589⟩