Electronic ISBN:  9780821895078 
Product Code:  MEMO/222/1042.E 
94 pp 
List Price:  $69.00 
MAA Member Price:  $62.10 
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 222; 2013MSC: 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 squareintegrable representations

6. Spectral transfer for essentially squareintegrable representations

7. Spectral transfer for limits of discrete series

A. Parabolic descent for geometric transfer factors


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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 squareintegrable representations

6. Spectral transfer for essentially squareintegrable representations

7. Spectral transfer for limits of discrete series

A. Parabolic descent for geometric transfer factors