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Sur la classification des séries discrètes des groupes classiques p-adiques: paramètres de Langlands et exhaustivité

Sur la classification des séries discrètes des groupes classiques p-adiques: paramètres de... In this paper, we are giving parameters for discrete series of classical p-adic groups. We first define: the analogous of the Langlands morphism of W F in the L-group, part of the analogous of the character of the centralizer of that morphism and, to supply the missing part of the full definition of that character, the cuspidal support of the representation. Then, we state an hypothesis on the reducibility points for induced of cuspidal representations. And we prove that, under this hypothesis, the 3 data characterize discrete series. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of the European Mathematical Society Springer Journals

Sur la classification des séries discrètes des groupes classiques p-adiques: paramètres de Langlands et exhaustivité

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Publisher
Springer Journals
Copyright
Copyright © 2001 by Springer-Verlag Berlin Heidelberg & EMS
Subject
Mathematics; Mathematics, general
ISSN
1435-9855
DOI
10.1007/s100970100033
Publisher site
See Article on Publisher Site

Abstract

In this paper, we are giving parameters for discrete series of classical p-adic groups. We first define: the analogous of the Langlands morphism of W F in the L-group, part of the analogous of the character of the centralizer of that morphism and, to supply the missing part of the full definition of that character, the cuspidal support of the representation. Then, we state an hypothesis on the reducibility points for induced of cuspidal representations. And we prove that, under this hypothesis, the 3 data characterize discrete series.

Journal

Journal of the European Mathematical SocietySpringer Journals

Published: Jun 1, 2002

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