Automorphic Representation of Unitary Groups in Three Variables. (AM-123), Volume 123 / Jonathan David Rogawski.

Format:

Book

Author/Creator:

Rogawski, Jonathan David, author.

Series:

Annals of mathematics studies ; no. 123.

Annals of Mathematics Studies ; 306

Language:

English

Subjects (All):

Unitary groups.

Trace formulas.

Representations of groups.

Automorphic forms.

Physical Description:

1 online resource (273 pages)

Place of Publication:

Princeton, NJ : Princeton University Press, [2016]

Language Note:

English

Summary:

The purpose of this book is to develop the stable trace formula for unitary groups in three variables. The stable trace formula is then applied to obtain a classification of automorphic representations. This work represents the first case in which the stable trace formula has been worked out beyond the case of SL (2) and related groups. Many phenomena which will appear in the general case present themselves already for these unitary groups.

Contents:

Frontmatter

Introduction

Chapter 1. Preliminary definitions and notation

Chapter 2. The trace formula

Chapter 3. Stable conjugacy

Chapter 4. Orbital integrals and endoscopic groups

Chapter 5. Stabilization

Chapter 6. Weighted orbital integrals

Chapter 7. Elliptic singular terms

Chapter 8. Germ expansions and limit formulas

Chapter 9. Singularities

Chapter 10. The stable trace formula

Chapter 11. The Unitary group in two variables

Chapter 12. Representation theory

Chapter 13. Automorphic representations

Chapter 14. Comparison of inner forms

Chapter 15. Additional results

References

Subject Index

Notation Index

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references and indexes.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9781400882441

1400882443

OCLC:

979747114