Caractères de représentations de niveau 0

preprint2016arXivOpen access

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 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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