Open AccessSur certains paquets d’Arthur et involution d’Aubert-Schneider-Stuhler généralisée
Author(s) -
Colette Mœglin
Publication year - 2006
Publication title -
representation theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.169
H-Index - 37
ISSN - 1088-4165
DOI - 10.1090/s1088-4165-06-00270-6
Subject(s) - mathematics , involution (esoterism) , annotation , algebra over a field , discrete mathematics , pure mathematics , artificial intelligence , computer science , epistemology , philosophy , consciousness
In this paper, we construct a set of representations for classical p 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.