Sur les paquets d'Arthur des groupes classiques r\'eels

David Renard (1) , Colette Moeglin (2)

1 CMLS - Centre de Mathématiques Laurent Schwartz
2 IMJ - Institut de Mathématiques de Jussieu

This article is part of a project which consists of investigating Arthur packets for real classical groups. Our goal is to give an explicit description of these packets and to establish the multiplicity one property (which is known to hold for $p$-adic and complex groups). The main result in this paper is a construction of packets from unipotent packets on $c$-Levi factors using cohomological induction. An important tool used in the argument is a statement of commutativity between cohomological induction and spectral endoscopic transfer.

Domaines: Théorie des représentations [math.RT]

David Renard, Colette Moeglin. Sur les paquets d'Arthur des groupes classiques r\'eels. 2018. ⟨hal-01707565⟩