Descent Construction for GSpin Groups

Joseph Hundley, Eitan Sayag (Autoren)

Buch | Softcover

125 Seiten

2016
American Mathematical Society (Verlag)
978-1-4704-1667-6 (ISBN)

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Provides 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 $GL_{2n}$.

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 $GL_{2n}$.

Joseph Hundley, State University of New York at Buffalo, New York, USA. Eitan Sayag, Hebrew University of Jerusalem, Israel.

Introduction
Part 1. General matters: Some notions related to Langlands functoriality
Notation
The Spin groups $GSpin_{m}$ and their quasisplit forms
``Unipotent periods''
Part 2. Odd case: Notation and statement
Unramified correspondence
Eisenstein series I: Construction and main statements
Descent construction
Appendix I: Local results on Jacquet functors
Appendix II: Identities of unipotent periods
Part 3. Even case: Formulation of the main result in the even case
Notation
Unramified correspondence
Eisenstein series
Descent construction
Appendix III: Preparations for the proof of Theorem 15.0.12
Appendix IV: Proof of Theorem 15.0.12
Appendix V: Auxiliary results used to prove Theorem 15.0.12
Appendix VI: Local results on Jacquet functors
Appendix VII: Identities of unipotent periods
Bibliography.

Erscheinungsdatum	05.10.2016
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Gewicht	210 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-4704-1667-0 / 1470416670
ISBN-13	978-1-4704-1667-6 / 9781470416676
Zustand	Neuware