Résumé
Soit G le groupe des points définis sur un corps p-adique d’un groupe réductif non connexe. Dans cette note on prouve que toute représentation irréductible tempérée de G est irréductiblement induite d’une essentielle d’un sous-groupe de Lévi cuspidal de G.
Abstract
Let G be the group of points defined over a p-adic field of a non-connected reductive group. In this note, we prove that every tempered irreducible representation of G is irreducibly induced from an essential one of a cuspidal Levi subgroup of G.
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Bettaïeb, K. Classification des Représentations Tempérées d’un Groupe p-Adique non Connexe. Algebr Represent Theor 16, 275–287 (2013). https://doi.org/10.1007/s10468-011-9307-1
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DOI: https://doi.org/10.1007/s10468-011-9307-1