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

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

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.

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

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

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

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

by Jonathan David Rogawski

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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: 9781400882441
Publisher: Princeton University Press
Publication date: 03/02/2016
Series: Annals of Mathematics Studies , #123
Sold by: Barnes & Noble
Format: eBook
Pages: 272
File size: 15 MB
Note: This product may take a few minutes to download.

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



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