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

Abstract

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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