Transfert du pseudo-coefficient de Kottwitz et formules de caractere pour la serie discrete de GL(N) d'un corps local
Representation Theory
2012-04-02 v1 Group Theory
Number Theory
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.
Keywords
Cite
@article{arxiv.1203.6788,
title = {Transfert du pseudo-coefficient de Kottwitz et formules de caractere pour la serie discrete de GL(N) d'un corps local},
author = {Paul Broussous},
journal= {arXiv preprint arXiv:1203.6788},
year = {2012}
}