Automorphic representations of unitary groups in three variables / Jonathan D. Rogawski

Rogawski, Jon (1955-2011)

ISBN 10: 0691085862 / ISBN 13: 9780691085869

Published by Princeton, N.J. : Princeton University Press, 1990

About this Item

Fine paperback copy. Particularly and surprisingly well-preserved; tight, bright, clean and especially sharp-cornered. Physical description; xii, 257 pp. Notes; Includes bibliographical references (pages 251-257) and indexes. Contents; Cover ; Title ; Copyright ; Dedication ; Table of Contents ; Introduction ; 1. Preliminary definitions and notation; 2. The trace formula; 3. Stable conjugacy; 4. Orbital integrals and endoscopic groups; 5. Stabilization; 6. Weighted orbital integrals; 7. Elliptic singular terms; 8. Germ expansions and limit formulas; 9. Singularities; 10. The stable trace formula; 11. The unitary group in two variables; 12. Representation theory; 13. Automorphic representations; 14. Comparison of inner forms; 15. Additional results; References; Subject Index; Notation Index. Subjects; Unitary groups. Trace formulas. Representations of groups. Automorphic forms. Mathematics. 3 Kg.

Seller Inventory # 385067

Bibliographic Details

• Title: Automorphic representations of unitary groups in three variables / Jonathan D. Rogawski
• Publisher: Princeton, N.J. : Princeton University Press
• Publication Date: 1990
• Language: English
• ISBN 10: 0691085862
• ISBN 13: 9780691085869
• Binding: Soft cover
• Edition: 1st edition.
• Weight: 3 kilograms

About this title

Synopsis

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.

From the Back Cover

The subject matter of these Notes is the interplay between the theory of automorphic forms and group representations. One goal is to interpret some recent developments in this area, most significantly the theory of Jacquet-Langlands, working out, whenever possible, explicit consequences and connections with the classical theory. Another goal is to collect as much information as possible concerning the decomposition of L2(GL(2, Q)\GL(2, A(Q)).