Descent construction for Gspin groups

著者

    • Hundley, Joseph
    • Sayag, Eitan

書誌事項

Descent construction for Gspin groups

Joseph Hundley, Eitan Sayag

（Memoirs of the American Mathematical Society, no. 1148）

American Mathematical Society, c2016

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注記

Includes bibliographical references

"Volume 243, number 1148 (first of 4 numbers), September 2016"

内容説明・目次

内容説明

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 $GL_{2n}$.

目次

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.

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