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1 results

Données endoscopiques d’un groupe réductif connexe : applications d’une construction de Langlands
Part of
- Lie groups
Bertrand Lemaire, Jean-Loup Waldspurger
Journal:

Canadian Journal of Mathematics / Volume 73 / Issue 4 / August 2021

Published online by Cambridge University Press:

15 May 2020, pp. 1074-1094

Print publication:

August 2021
- Article
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- Export citation
Soient $F$ un corps global, et $G$ un groupe réductif connexe défini sur $F$ . On prouve que si deux données endoscopiques de $G$ sont équivalentes en presque toute place de $F$ , alors elles sont équivalentes. Le résultat est encore vrai pour l’endoscopie (ordinaire) avec caractère. On donne aussi, pour $F$ global ou local et $G$ quasi-simple simplement connexe, une description des données endoscopiques elliptiques de $G$ .