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Character Identities in the Twisted Endoscopy of Real Reductive Groups
 
Paul Mezo Carleton University, Ottawa, ON, Canada
Front Cover for Character Identities in the Twisted Endoscopy of Real Reductive Groups
Available Formats:
Electronic 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
Front Cover for Character Identities in the Twisted Endoscopy of Real Reductive Groups
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  • Front Cover for Character Identities in the Twisted Endoscopy of Real Reductive Groups
  • Back Cover for Character Identities in the Twisted Endoscopy of Real Reductive Groups
Character Identities in the Twisted Endoscopy of Real Reductive Groups
Paul Mezo Carleton University, Ottawa, ON, Canada
Available Formats:
Electronic 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
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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
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