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Endoscopic Classification of Representations of Quasi-Split Unitary Groups
 
Chung Pang Mok :  Morningside Center of Mathematics, Beijing, China and Purdue University, Bloomington, IN
Endoscopic Classification of Representations of Quasi-Split Unitary Groups
eBook ISBN:  978-1-4704-2226-4
Product Code:  MEMO/235/1108.E
List Price: $105.00
MAA Member Price: $94.50
AMS Member Price: $63.00
Add to cart
Endoscopic Classification of Representations of Quasi-Split Unitary Groups
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Endoscopic Classification of Representations of Quasi-Split Unitary Groups
Chung Pang Mok :  Morningside Center of Mathematics, Beijing, China and Purdue University, Bloomington, IN
eBook ISBN:  978-1-4704-2226-4
Product Code:  MEMO/235/1108.E
List Price: $105.00
MAA Member Price: $94.50
AMS Member Price: $63.00
Add to cart
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 235; 2015; 248 pp
    MSC: Primary 22; Secondary 20; 11

    In this paper the author establishes the endoscopic classification of tempered representations of quasi-split unitary groups over local fields, and the endoscopic classification of the discrete automorphic spectrum of quasi-split unitary groups over global number fields. The method is analogous to the work of Arthur on orthogonal and symplectic groups, based on the theory of endoscopy and the comparison of trace formulas on unitary groups and general linear groups.
  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Statement of the main theorems
    • 3. Local character identities and the intertwining relation
    • 4. Trace formulas and their stabilization
    • 5. The Standard model
    • 6. Study of Critical Cases
    • 7. Local Classification
    • 8. Nontempered representations
    • 9. Global classification
    • 10. Addendum
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Memoirs of the American Mathematical Society
Volume: 235; 2015; 248 pp
MSC: Primary 22; Secondary 20; 11

In this paper the author establishes the endoscopic classification of tempered representations of quasi-split unitary groups over local fields, and the endoscopic classification of the discrete automorphic spectrum of quasi-split unitary groups over global number fields. The method is analogous to the work of Arthur on orthogonal and symplectic groups, based on the theory of endoscopy and the comparison of trace formulas on unitary groups and general linear groups.
  • Chapters
  • 1. Introduction
  • 2. Statement of the main theorems
  • 3. Local character identities and the intertwining relation
  • 4. Trace formulas and their stabilization
  • 5. The Standard model
  • 6. Study of Critical Cases
  • 7. Local Classification
  • 8. Nontempered representations
  • 9. Global classification
  • 10. Addendum
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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