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Representation Theory
Representation Theory
ISSN 1088-4165

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


Author: C. Moeglin
Journal: Represent. Theory 10 (2006), 86-129
MSC (2000): Primary 22E50
Posted: 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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Additional Information

C. Moeglin
Affiliation: Institut de Mathématiques de Jussieu, CNRS, 4 place Jussieu, F-75005 Paris
Email: moeglin@math.jussieu.fr

DOI: http://dx.doi.org/10.1090/S1088-4165-06-00270-6
PII: S 1088-4165(06)00270-6
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
Posted: February 17, 2006
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.