| eBook 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 |
| eBook 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 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 243; 2016; 125 ppMSC: 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 \(GL_{2n}\).
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Table of Contents
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Chapters
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1. Introduction
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1. General matters
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2. Some notions related to Langlands functoriality
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3. Notation
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4. The Spin groups $GSpin_{m}$ and their quasisplit forms
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5. “Unipotent periods”
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2. Odd case
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6. Notation and statement
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7. Unramified correspondence
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8. Eisenstein series I: Construction and main statements
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9. Descent construction
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10. Appendix I: Local results on Jacquet functors
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11. Appendix II: Identities of unipotent periods
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3. Even case
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12. Formulation of the main result in the even case
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13. Notation
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14. Unramified correspondence
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15. Eisenstein series
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16. Descent construction
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17. Appendix III: Preparations for the proof of Theorem
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18. Appendix IV: Proof of Theorem
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19. Appendix V: Auxilliary results used to prove Theorem
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20. Appendix VI: Local results on Jacquet functors
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21. Appendix VII: Identities of unipotent periods
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Additional Material
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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
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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
