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Classification des représentations tempérées d'un groupe p-adique

Published online by Cambridge University Press:  20 November 2018

Karem Bettaïeb
Karem Bettaïeb*
Affiliation:
Laboratoire de Théorie des Groupes, Représentations – Applications, Institut de Mathématiques de Jussieu, 175, rue du Chevaleret, 75013 Paris, France
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Résumé

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Soit $G$ le groupe des points définis sur un corps $p$-adique d'un groupe réductif connexe. A l'aide des caractères virtuels supertempérés de $G$, on prouve (conjectures de Clozel) que toute représentation irréductible tempérée de $G$ est irréductiblement induite d'une essentielle d'un sousgroupe de Lévi de $G$.

Keywords

22E
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 55 , Issue 6 , 01 December 2003 , pp. 1121 - 1133
Copyright
Copyright © Canadian Mathematical Society 2003

References

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