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Transfert du pseudo-coefficient de Kottwitz et formules de caractère pour la série discrète de GL(N) sur un corps local

Published online by Cambridge University Press:  20 November 2018

P. Broussous
P. Broussous*
Affiliation:
Université de Poitiers, Laboratoire de Mathématiques et Applications, UMR 7348 du CNRS. courriel: paul.broussous@math.univ-poitiers.fr
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Abstract

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Soit $G$ le groupe $\text{GL}\,\left( N,\,F \right)$, où $F$ est un corps localement compact et non archimédien. En utilisant la théorie des types simples de Bushnell et Kutzko, ainsi qu'une idée originale d'Henniart, nous construisons des pseudo-coefficients explicites pour les représentations de la série discrète de $G$. Comme application, nous en déduisons des formules inédites pour la valeur du charactère d'Harish- Chandra de certaines telles représentations en certainséléments elliptiques réguliers.

Keywords

22E50reductive p-adic groupsdiscrete seriesHarish-Chandra characterpseudo-coefficient
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 66 , Issue 2 , 01 April 2014 , pp. 241 - 283
Copyright
Copyright © Canadian Mathematical Society 2014

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