Sur les paquets d'Arthur des groupes classiques réels

2017/03/21 by Moeglin, Colette, David Renard, Renard, David · 3 citations
Mathematics · #11F57 #20G05 #22E50 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1703.07226

openalex publication_date 2017/03/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Cited by

• Parameters and Theta lifts
• The Kodaira dimension of even-dimensional ball quotients
• The automorphic discrete spectrum of Mp₄

Related

• Paquets d'Arthur pour les groupes classiques; point de vue combinatoire
• Paquets d'Arthur discrets pour un groupe classique p-adique
• Paquets d'Arthur des groupes classiques complexes
• Equivalent definitions of Arthur packets for real classical groups
• Equivalent definitions of Arthur packets for real unitary groups