Vol. 299, No. 1, 2019

Download this article
Download this article For screen
For printing
Recent Issues
Vol. 301: 1
Vol. 300: 1  2
Vol. 299: 1  2
Vol. 298: 1  2
Vol. 297: 1  2
Vol. 296: 1  2
Vol. 295: 1  2
Vol. 294: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Other MSP Journals
This article is available for purchase or by subscription. See below.
Sur les paquets d'Arthur des groupes unitaires et quelques conséquences pour les groupes classiques

Colette Mœglin and David Renard

Vol. 299 (2019), No. 1, 53–88
Abstract

Nous donnons une construction explicite des paquets d’Arthur des groupes unitaires réels par induction cohomologique et induction parabolique et en suivant une idée communiquée par P. Trapa, nous établissons la propriété de multiplicité un de ceux-ci. Nous montrons en particulier des résultats d’irréductibilité de certaines induites paraboliques pour les groupes unitaires, ce qui nous permet de compléter les démonstrations d’énoncés analogues annoncés dans nos travaux sur les paquets d’Arthur des groupes classiques.

We give an explicit construction of Arthur packets for real unitary groups by cohomological and parabolic induction and following an idea communicated to us by P. Trapa, we show that they satisfy the multiplicity one property. In particular, we show the irreducibility of some parabolically induced representations for unitary groups, and use this to give the proof of analogous statements made in our work on Arthur packets of classical groups.

PDF Access Denied

However, your active subscription may be available on Project Euclid at
https://projecteuclid.org/pjm

We have not been able to recognize your IP address 35.172.100.232 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords
Arthur packets, unitary groups, classical groups
Mathematical Subject Classification 2010
Primary: 20G05, 22E50
Secondary: 11F55
Milestones
Received: 14 May 2018
Accepted: 29 September 2018
Published: 18 April 2019
Authors
Colette Mœglin
CNRS
Institut Mathématiques de Jussieu
Paris
France
David Renard
Centre de Mathématiques Laurent Schwartz
Ecole Polytechnique
Palaiseau
France