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Character Identities in the Twisted Endoscopy of Real Reductive Groups
 
Paul Mezo Carleton University, Ottawa, ON, Canada
Character Identities in the Twisted Endoscopy of Real Reductive Groups
eBook ISBN:  978-0-8218-9507-8
Product Code:  MEMO/222/1042.E
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $41.40
Character Identities in the Twisted Endoscopy of Real Reductive Groups
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Character Identities in the Twisted Endoscopy of Real Reductive Groups
Paul Mezo Carleton University, Ottawa, ON, Canada
eBook ISBN:  978-0-8218-9507-8
Product Code:  MEMO/222/1042.E
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $41.40
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2222013; 94 pp
    MSC: Primary 22; 11;

    Suppose \(G\) is a real reductive algebraic group, \(\theta\) is an automorphism of \(G\), and \(\omega\) is a quasicharacter of the group of real points \(G(\mathbf{R})\). Under some additional assumptions, the theory of twisted endoscopy associates to this triple real reductive groups \(H\). The Local Langlands Correspondence partitions the admissible representations of \(H(\mathbf{R})\) and \(G(\mathbf{R})\) into \(L\)-packets. The author proves twisted character identities between \(L\)-packets of \(H(\mathbf{R})\) and \(G(\mathbf{R})\) comprised of essential discrete series or limits of discrete series.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Notation
    • 3. The foundations of real twisted endoscopy
    • 4. The Local Langlands Correspondence
    • 5. Tempered essentially square-integrable representations
    • 6. Spectral transfer for essentially square-integrable representations
    • 7. Spectral transfer for limits of discrete series
    • A. Parabolic descent for geometric transfer factors
  • 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
Volume: 2222013; 94 pp
MSC: Primary 22; 11;

Suppose \(G\) is a real reductive algebraic group, \(\theta\) is an automorphism of \(G\), and \(\omega\) is a quasicharacter of the group of real points \(G(\mathbf{R})\). Under some additional assumptions, the theory of twisted endoscopy associates to this triple real reductive groups \(H\). The Local Langlands Correspondence partitions the admissible representations of \(H(\mathbf{R})\) and \(G(\mathbf{R})\) into \(L\)-packets. The author proves twisted character identities between \(L\)-packets of \(H(\mathbf{R})\) and \(G(\mathbf{R})\) comprised of essential discrete series or limits of discrete series.

  • Chapters
  • 1. Introduction
  • 2. Notation
  • 3. The foundations of real twisted endoscopy
  • 4. The Local Langlands Correspondence
  • 5. Tempered essentially square-integrable representations
  • 6. Spectral transfer for essentially square-integrable representations
  • 7. Spectral transfer for limits of discrete series
  • A. Parabolic descent for geometric transfer factors
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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