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

Colette Moeglin

Journal of the European Mathematical Society (2002)

  • Volume: 004, Issue: 2, page 143-200
  • ISSN: 1435-9855

Abstract

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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.

How to cite

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Moeglin, Colette. "Sur la classification des séries discrètes des groupes classiques p-adiques: paramètres de Langlands et exhaustivité." Journal of the European Mathematical Society 004.2 (2002): 143-200. <http://eudml.org/doc/277574>.

@article{Moeglin2002,
author = {Moeglin, Colette},
journal = {Journal of the European Mathematical Society},
keywords = {Langlands parameters; discrete series representation; cuspidal representations; discrete series; Langlands parameters; discrete series representation; cuspidal representations; discrete series},
language = {fre},
number = {2},
pages = {143-200},
publisher = {European Mathematical Society Publishing House},
title = {Sur la classification des séries discrètes des groupes classiques p-adiques: paramètres de Langlands et exhaustivité},
url = {http://eudml.org/doc/277574},
volume = {004},
year = {2002},
}

TY - JOUR
AU - Moeglin, Colette
TI - Sur la classification des séries discrètes des groupes classiques p-adiques: paramètres de Langlands et exhaustivité
JO - Journal of the European Mathematical Society
PY - 2002
PB - European Mathematical Society Publishing House
VL - 004
IS - 2
SP - 143
EP - 200
LA - fre
KW - Langlands parameters; discrete series representation; cuspidal representations; discrete series; Langlands parameters; discrete series representation; cuspidal representations; discrete series
UR - http://eudml.org/doc/277574
ER -

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