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Descent Construction for GSpin Groups

Joseph Hundley State University of New York at Buffalo, New York
Eitan Sayag Hebrew University of Jerusalem, Israel
Available Formats:
Electronic ISBN: 978-1-4704-3444-1
Product Code: MEMO/243/1148.E
List Price: $84.00 MAA Member Price:$75.60
AMS Member Price: $50.40 Click above image for expanded view Descent Construction for GSpin Groups Joseph Hundley State University of New York at Buffalo, New York Eitan Sayag Hebrew University of Jerusalem, Israel Available Formats:  Electronic ISBN: 978-1-4704-3444-1 Product Code: MEMO/243/1148.E  List Price:$84.00 MAA Member Price: $75.60 AMS Member Price:$50.40
• Book Details

Memoirs of the American Mathematical Society
Volume: 2432016; 125 pp
MSC: Primary 11;

In this paper the authors provide an extension of the theory of descent of Ginzburg-Rallis-Soudry to the context of essentially self-dual representations, that is, representations which are isomorphic to the twist of their own contragredient by some Hecke character. The authors' theory supplements the recent work of Asgari-Shahidi on the functorial lift from (split and quasisplit forms of) $GSpin_{2n}$ to $GL_{2n}$.

• Chapters
• 1. Introduction
• 1. General matters
• 2. Some notions related to Langlands functoriality
• 3. Notation
• 4. The Spin groups $GSpin_{m}$ and their quasisplit forms
• 5. “Unipotent periods”
• 2. Odd case
• 6. Notation and statement
• 7. Unramified correspondence
• 8. Eisenstein series I: Construction and main statements
• 9. Descent construction
• 10. Appendix I: Local results on Jacquet functors
• 11. Appendix II: Identities of unipotent periods
• 3. Even case
• 12. Formulation of the main result in the even case
• 13. Notation
• 14. Unramified correspondence
• 15. Eisenstein series
• 16. Descent construction
• 17. Appendix III: Preparations for the proof of Theorem
• 18. Appendix IV: Proof of Theorem
• 19. Appendix V: Auxilliary results used to prove Theorem
• 20. Appendix VI: Local results on Jacquet functors
• 21. Appendix VII: Identities of unipotent periods

• Requests

Review Copy – for reviewers who would like to review an AMS book
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Volume: 2432016; 125 pp
MSC: Primary 11;

In this paper the authors provide an extension of the theory of descent of Ginzburg-Rallis-Soudry to the context of essentially self-dual representations, that is, representations which are isomorphic to the twist of their own contragredient by some Hecke character. The authors' theory supplements the recent work of Asgari-Shahidi on the functorial lift from (split and quasisplit forms of) $GSpin_{2n}$ to $GL_{2n}$.

• Chapters
• 1. Introduction
• 1. General matters
• 2. Some notions related to Langlands functoriality
• 3. Notation
• 4. The Spin groups $GSpin_{m}$ and their quasisplit forms
• 5. “Unipotent periods”
• 2. Odd case
• 6. Notation and statement
• 7. Unramified correspondence
• 8. Eisenstein series I: Construction and main statements
• 9. Descent construction
• 10. Appendix I: Local results on Jacquet functors
• 11. Appendix II: Identities of unipotent periods
• 3. Even case
• 12. Formulation of the main result in the even case
• 13. Notation
• 14. Unramified correspondence
• 15. Eisenstein series
• 16. Descent construction
• 17. Appendix III: Preparations for the proof of Theorem
• 18. Appendix IV: Proof of Theorem
• 19. Appendix V: Auxilliary results used to prove Theorem
• 20. Appendix VI: Local results on Jacquet functors
• 21. Appendix VII: Identities of unipotent periods
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