Caractères de représentations de niveau 0

2016/02/03 by Waldspurger, J. -L
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1602.01440

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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