DESCENT CONSTRUCTION FOR GSPIN GROUPS: MAIN RESULTS AND APPLICATIONS

Q3 Mathematics

Electronic Research Announcements in Mathematical Sciences Pub Date : 2008-08-16 DOI:10.3934/ERA.2009.16.30

Joseph Hundley, E. Sayag

引用次数: 15

Abstract

The purpose of this note is to announce an extension of the descent method of Ginzburg, Rallis, and Soudry to the setting of essentially self dual representations. This extension of the descent construction provides a complement to recent work of Asgari and Shahidi [2] on the generic transfer for general Spin groups as well as to the work of Asgari and Raghuram [1] on cuspidality of the exterior square lift for representations of $GL_4$. Complete proofs of the results announced in the present note will appear in our forthcoming article(s).

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gspin群的下降构造:主要结果和应用

本笔记的目的是宣布将Ginzburg, Rallis和Soudry的下降方法扩展到本质上是自对偶表示的设置。这一下降构造的扩展为Asgari和Shahidi[1]最近关于一般自旋群的一般转移的工作，以及Asgari和Raghuram[1]关于表示$GL_4$的外部方形提升的个性的工作提供了补充。本说明中公布的结果的完整证明将在我们即将发表的文章中出现。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Electronic Research Announcements in Mathematical Sciences 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Electronic Research Archive (ERA), formerly known as Electronic Research Announcements in Mathematical Sciences, rapidly publishes original and expository full-length articles of significant advances in all branches of mathematics. All articles should be designed to communicate their contents to a broad mathematical audience and must meet high standards for mathematical content and clarity. After review and acceptance, articles enter production for immediate publication. ERA is the continuation of Electronic Research Announcements of the AMS published by the American Mathematical Society, 1995—2007