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

by Jonathan David Rogawski

Overview

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.

Product Details

ISBN-13:	9780691085876
Publisher:	Princeton University Press
Publication date:	09/21/1990
Series:	Annals of Mathematics Studies , #123
Pages:	272
Product dimensions:	6.00(w) x 9.00(h) x (d)

Table of Contents

• 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

Editorial Reviews

"Reading a book like this may cause the reader to wonder when mathematics turns into art. The author has worked to create a body of knowledge which is impressive in depth and breadth and suggestive in exemplifying phenomena which transcend his special case."

Mathematical Reviews

"Reading a book like this may cause the reader to wonder when mathematics turns into art. The author has worked to create a body of knowledge which is impressive in depth and breadth and suggestive in exemplifying phenomena which transcend his special case."—Mathematical Reviews

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