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Representation Theory

ISSN 1088-4165



Sur certains paquets d’Arthur et involution d’Aubert-Schneider-Stuhler généralisée

Author: C. Mœglin
Journal: Represent. Theory 10 (2006), 86-129
MSC (2000): Primary 22E50
Published electronically: February 17, 2006
MathSciNet review: 2209850
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Abstract: In this paper, we construct a set of representations for classical $p$-adic groups. This set contains the discrete series and the unipotent representations. It is the basic tool to study Arthur’s packets. The construction is done in two different ways: The first one uses Jacquet modules and gives explicit knowledge. The second one uses a generalization of the Aubert-Schneider-Stuhler involution and gives a resolution in the Grothendieck group.

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C. Mœglin
Affiliation: Institut de Mathématiques de Jussieu, CNRS, 4 place Jussieu, F-75005 Paris

Keywords: Representations of classical $p$-adic groups, discrete series; Arthur’s packet, Aubert-Schneider-Stuhler involution
Received by editor(s): January 19, 2005
Received by editor(s) in revised form: December 5, 2005
Published electronically: February 17, 2006
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.