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

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Jonathan David Rogawski

Automorphic Representation of Unitary Groups in Three Variables.

AM-123 , Volume 123

Jonathan David Rogawski

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English

Princeton University Press
21 September 1990

Groups & group theory; Calculus of variations

Series: Annals of Mathematics Studies

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)).

By: Jonathan David Rogawski
Imprint: Princeton University Press
Country of Publication: United States
Volume: 131
Dimensions: Height: 229mm, Width: 152mm, Spine: 15mm
Weight: 397g
ISBN: 9780691085876
ISBN 10: 0691085870
Series: Annals of Mathematics Studies
Pages: 272
Publication Date: 21 September 1990
Audience: Professional and scholarly , College/higher education , Undergraduate , Primary
Format: Paperback
Publisher's Status: Active

*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

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

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