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

Broussous, P.

Canadian journal of mathematics, Tome 66 (2014) no. 2, pp. 241-283

Résumé

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.

Détail

DOI : 10.4153/CJM-2013-010-6

Mots-clés : 22E50, reductive p-adic groups, discrete series, Harish-Chandra character, pseudo-coefficient

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