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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 Click above image for expanded view 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.

• 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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