Caractères de représentations de niveau <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mn>0</mml:mn></mml:math>

J.-L Waldspurger

Type: Article

Publication Date: 2019-01-21

Citations: 3

DOI: https://doi.org/10.5802/afst.1588

Abstract

Using the results of Meyer and Solleveld on the resolutions of Schneider and Stuhler, we compute the character of every smooth representation of finite length and of depht 0 of a p-adic reductive group. We prove that, in every strongly regular semi-simple point, the character is equal to some linear combination of weighted orbital integrals.

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Annales de la faculté des sciences de Toulouse Mathématiques - View - PDF
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+ PDF Chat	None	1997	Robert Kottwitz
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+	Groupes réductifs sur un corps local	1984	François Bruhat Jacques Tits