Transfert du pseudo-coefficient de Kottwitz et formules de caractere pour la serie discrete de GL(N) d'un corps local

2012/03/30 by Paul Broussous, Broussous, Paul
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Number Theory (math.NT) #Representation Theory (math.RT) #math.GR #math.NT #math.RT

paper · pdf · doi:10.48550/arxiv.1203.6788

arxiv created 2012/03/30 · openalex publication_date 2012/03/30 · arxiv updated 2012/04/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let G be the group GL(N,F), where F is a non-archimedean locally compact field. Using Bushnell and Kutzko's simple types, as well as an original idea of Henniart's, we construct explicit pseudo-coefficients for the discrete series representations of G. As an application we deduce new formulas for the value of the Harish-Chandra character of certain such representations at certain elliptic regular elements.

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