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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Sur certains paquets d’Arthur et involution d’Aubert-Schneider-Stuhler généralisée
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by C. Mœglin PDF
Represent. Theory 10 (2006), 86-129 Request permission

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. Mœglin
  • Affiliation: Institut de Mathématiques de Jussieu, CNRS, 4 place Jussieu, F-75005 Paris
  • Email: moeglin@math.jussieu.fr
  • Received by editor(s): January 19, 2005
  • Received by editor(s) in revised form: December 5, 2005
  • Published electronically: February 17, 2006
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 10 (2006), 86-129
  • MSC (2000): Primary 22E50
  • DOI: https://doi.org/10.1090/S1088-4165-06-00270-6
  • MathSciNet review: 2209850