Descent Construction for GSpin Groups
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) GSpin2n to GL2n.
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- Full title :Descent Construction for GSpin Groups / Joseph Hundley, Eitan Sayag.
Summary
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) GSpin2n to GL2n.
Read More ↓Edition Statements
- Publication Date:©2016
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, Rhode Island
- Language:eng
- Publication Date:©2016
Notes
"Volume 243, number 1148 (first of 4 numbers), September 2016."
The Physical Object
- Description:v, [125] pages ; : 26 cm.
Edition Identifiers
- ISBN:9781470416676, 1470416670
- oclc:ocn951528564
- LC Classification:QA671.5
- Dewey Decimal:516.3/62
Table of Contents
Introduction -- Some notions related to Langlands functoriality -- Notation --The Spin groups GSpinm and their quasisplit forms -- "Unipotent periods" -- 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 -- 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: Auxilliary results used to prove Theorem 15.0.12 -- Appendix VI: Local results on Jacquet functors -- Appendix VII: Identities of unipotent periods.
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