Descent Construction for GSpin Groups (Memoirs of the American Mathematical Society)

Hundley, Joseph/ Sayag, Eitan

American Mathematical Society（2016/09発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 125 p.
• 言語 ENG
• 商品コード 9781470416676
• DDC分類 516.362

Full Description

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 $GL_{2n}$.

Contents

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.