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Sur la classification des séries discrètes des groupes classiques p-adiques: paramètres de Langlands et exhaustivité
Author(s) -
Colette Mœglin
Publication year - 2002
Publication title -
journal of the european mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.549
H-Index - 64
eISSN - 1435-9863
pISSN - 1435-9855
DOI - 10.1007/s100970100033
Subject(s) - mathematics , centralizer and normalizer , morphism , character (mathematics) , langlands dual group , pure mathematics , series (stratigraphy) , algebra over a field , humanities , geometry , conjecture , paleontology , philosophy , biology
.   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.

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