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Quelques calculs de traces compactes et leurs transform{ées de Satake

  Published:2008-04-01
 Printed: Apr 2008
  • G.-V. Nguyen-Chu
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Abstract

On calcule les restrictions {\`a} l'alg{\`e}bre de Hecke sph{\'e}rique des traces tordues compactes d'un ensemble de repr{\'e}sentations explicitement construites du groupe $\GL(N, F)$, o{\`u} $F$ est un corps $p$-adique. Ces calculs r\'esolve en particulier une question pos{\'e}e dans un article pr\'ec\'edent du m\^eme auteur.
MSC Classifications: 22E50, 11F70 show english descriptions Representations of Lie and linear algebraic groups over local fields [See also 20G05]
Representation-theoretic methods; automorphic representations over local and global fields
22E50 - Representations of Lie and linear algebraic groups over local fields [See also 20G05]
11F70 - Representation-theoretic methods; automorphic representations over local and global fields
 

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