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Keywords:
reductive $p$-adic group; tempered representation
reductive $p$-adic group; tempered representation
Summary:
Soit $G$ l'ensemble des points rationnels d'un groupe algébrique réductif non connexe $p$-adique de caractéristique $0$. Soit $G^{0}$ la composante neutre de $G$. On suppose que $G/G^{0}$ est commutatif et fini. Notre motivation pour cette note est de rejoindre le cas connexe d'un papier précédent, Bettaïeb, (2003). Autrement dit, de retrouver une analogue à notre classification des représentations irréductibles tempérées de $G$, lorsque $G$ est connexe. C'est-à-dire que toute représentation irréductible tempérée de $G$ est irréductiblement induite d'une limite de série discrète d'un sous-groupe de Lévi cuspidal de $G$.
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