Endoscopic Classification of Representations of Quasi-Split Unitary Groups

ISBN-13: 9781470410414 / Angielski

Chung Pang Mok

Opis

In this paper the author establishes the endoscopic classification of tempered representations of quasi-split unitary groups over local fields, and the endoscopic classification of the discrete automorphic spectrum of quasi-split unitary groups over global number fields. The method is analogous to the work of Arthur on orthogonal and symplectic groups, based on the theory of endoscopy and the comparison of trace formulas on unitary groups and general linear groups.

Spis treści

• Introduction
• Statement of the main theorems
• Local character identities and the intertwining relation
• Trace formulas and their stabilization
• The Standard model
• Study of critical cases
• Local classification
• Nontempered representations
• Global classification
• Addendum
• Bibliography