Descent Construction for GSpin groups

Hundley, Joseph; Sayag, Eitan

doi:10.1090/memo/1148

AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution

Descent Construction for GSpin groups

About this Title

Joseph Hundley, Department of Mathematics, 244 Mathematics Building, University at Buffalo, Buffalo, NY 14260-2900 and Eitan Sayag, Department of Mathematics , Ben Gurion University of the Negev , P.O.B. 653 , Be’er Sheva 8410501, ISRAEL

Publication: Memoirs of the American Mathematical Society
Publication Year: 2016; Volume 243, Number 1148
ISBNs: 978-1-4704-1667-6 (print); 978-1-4704-3444-1 (online)
DOI: https://doi.org/10.1090/memo/1148
Published electronically: April 12, 2016
Keywords: Langlands functoriality, descent, unipotent integration
MSC: Primary 11F70, 11F55

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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

Abstract

In this paper we 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. Our 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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Descent Construction for GSpin groups