{"title":"DESCENT CONSTRUCTION FOR GSPIN GROUPS: MAIN RESULTS AND APPLICATIONS","authors":"Joseph Hundley, E. Sayag","doi":"10.3934/ERA.2009.16.30","DOIUrl":null,"url":null,"abstract":"The purpose of this note is to announce an extension of the \ndescent method of Ginzburg, Rallis, and Soudry to the setting of \n essentially self dual representations. This extension of the \ndescent construction provides a complement to recent work of \nAsgari and Shahidi [2] \n \non the generic transfer for general Spin groups as well as to the \nwork of Asgari and Raghuram [1] on cuspidality \nof the exterior square lift for representations of $GL_4$. \nComplete proofs of the results announced in the present note will \nappear in our forthcoming article(s).","PeriodicalId":53151,"journal":{"name":"Electronic Research Announcements in Mathematical Sciences","volume":"16 1","pages":"30-36"},"PeriodicalIF":0.0000,"publicationDate":"2008-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"15","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Electronic Research Announcements in Mathematical Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3934/ERA.2009.16.30","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
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).
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
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