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

2016/12/08 by Jean-Loup Waldspurger, Waldspurger, Jean-Loup
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1612.02635

openalex publication_date 2016/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Related

• Representations of unipotent reduction for SO(2n+1), I: an involution
• Endoscopy for representations of disconnected reductive groups over finite fields
• Endoscopic lifting of simple supercuspidal representations of SO(2n+1) to GL(2n)
• Endoscopic classification of representations of quasi-split unitary groups
• Toward the endoscopic classification of unipotent representations of p-adic G₂