Automorphic Representation of Unitary Groups in Three Variables
1st Edition
Published on 6. June 2016
272 pages
978-1-4008-8244-1 (ISBN)
Description
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.
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Jonathan David Rogawski
Automorphic Representation of Unitary Groups in Three Variables
Book
10/1990
Princeton University Press
€61.90
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Jonathan David Rogawski
Automorphic Representation of Unitary Groups in Three Variables
Book
09/1990
Princeton University Press
€81.30
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Jonathan David Rogawski
Content
Frontmatter, pg. i
Introduction, pg. ix
Chapter 1. Preliminary definitions and notation, pg. 1
Chapter 2. The trace formula, pg. 11
Chapter 3. Stable conjugacy, pg. 19
Chapter 4. Orbital integrals and endoscopic groups, pg. 39
Chapter 5. Stabilization, pg. 68
Chapter 6. Weighted orbital integrals, pg. 79
Chapter 7. Elliptic singular terms, pg. 89
Chapter 8. Germ expansions and limit formulas, pg. 112
Chapter 9. Singularities, pg. 134
Chapter 10. The stable trace formula, pg. 153
Chapter 11. The Unitary group in two variables, pg. 161
Chapter 12. Representation theory, pg. 171
Chapter 13. Automorphic representations, pg. 198
Chapter 14. Comparison of inner forms, pg. 232
Chapter 15. Additional results, pg. 246
References, pg. 251
Subject Index, pg. 258
Notation Index, pg. 259
Introduction, pg. ix
Chapter 1. Preliminary definitions and notation, pg. 1
Chapter 2. The trace formula, pg. 11
Chapter 3. Stable conjugacy, pg. 19
Chapter 4. Orbital integrals and endoscopic groups, pg. 39
Chapter 5. Stabilization, pg. 68
Chapter 6. Weighted orbital integrals, pg. 79
Chapter 7. Elliptic singular terms, pg. 89
Chapter 8. Germ expansions and limit formulas, pg. 112
Chapter 9. Singularities, pg. 134
Chapter 10. The stable trace formula, pg. 153
Chapter 11. The Unitary group in two variables, pg. 161
Chapter 12. Representation theory, pg. 171
Chapter 13. Automorphic representations, pg. 198
Chapter 14. Comparison of inner forms, pg. 232
Chapter 15. Additional results, pg. 246
References, pg. 251
Subject Index, pg. 258
Notation Index, pg. 259
