The endoscopic classification of representations of non-quasi-split odd special orthogonal groups

2023/01/28 by Ishimoto, Hiroshi · 3 citations
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2301.12143

Abstract

In an earlier book of Arthur, the endoscopic classification of representations of quasi-split orthogonal and symplectic groups was established. Later Mok gave that of quasi-split unitary groups. After that, Kaletha, Minguez, Shin, and White gave that of non-quasi-split unitary groups for generic parameters. In this paper we prove the endoscopic classification of representations of non-quasi-split odd special orthogonal groups for generic parameters, following Kaletha, Minguez, Shin, and White.

Cited by

• The local Langlands conjecture
• The square-integrability of double descent
• The endoscopic character identity for even special orthogonal groups

Related

• Endoscopic classification of representations of quasi-split unitary\n groups
• Endoscopic Classification of Representations: Inner Forms of Unitary Groups
• Endoscopic classification of very cuspidal representations of quasi-split unitary groups
• The endoscopic character identity for even special orthogonal groups
• A weak form of beyond endoscopic decomposition for the stable trace\n formula of odd orthogonal groups