Representations of unipotent reduction for SO(2n+1), II: endoscopy

For the groups SO(2n+1,F), where F is a p-adic field, we consider the tempered irr{é}ducible representations of unipotent reduction. Lusztig has contructed and parametrized these representations. We prove that they satisfy the expected endoscopic identities which determine the parametrization.

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Bibliographic Details
Published in:arXiv.org 2016-12
Main Author: Jean-Loup Waldspurger
Format: Article
Language:English
Subjects:
Parameterization
Reduction
Representations
Online Access:Get full text
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Description
Summary:For the groups SO(2n+1,F), where F is a p-adic field, we consider the tempered irr{é}ducible representations of unipotent reduction. Lusztig has contructed and parametrized these representations. We prove that they satisfy the expected endoscopic identities which determine the parametrization.
ISSN:2331-8422