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Paquets d’Arthur des groupes classiques complexes

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

We describe explicitly Arthur packets for complex classical groups, as well as their internal parametrization by the group of characters of the component group of the stabilizer of their parameter. We first show that they are obtained by parabolic induction preserving irreducibility from unipotent packets of “good parity”. For these, we show that they coincide with the packets defined by Barbasch and Vogan. We use deep results of Barbasch entering his classification of the unitary dual of these groups [Invent. Math 96 (1989), pp. 103-176].

Original languageEnglish
Title of host publicationContemporary Mathematics
PublisherAmerican Mathematical Society
Pages203-256
Number of pages54
DOIs
Publication statusPublished - 1 Jan 2017

Publication series

NameContemporary Mathematics
Volume691
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

Keywords

  • Arthur’s packet
  • Representations of complex classical groups

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