| 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 |
| 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 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 222; 2013; 94 ppMSC: 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.
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Table of Contents
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Chapters
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1. Introduction
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2. Notation
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3. The foundations of real twisted endoscopy
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4. The Local Langlands Correspondence
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5. Tempered essentially square-integrable representations
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6. Spectral transfer for essentially square-integrable representations
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7. Spectral transfer for limits of discrete series
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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 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
