Endoscopic lifting in classical groups and poles of tensor L-functions

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Abstract

In this article, we introduce a new construction of endoscopic lifting in classical groups. To do that, we study a certain small representation and use it as a kernel function to construct the liftings. As an application of the construction, we study the relations of poles of tensor L-function with certain liftings and certain period integrals.

Original languageEnglish
Pages (from-to)447-503
Number of pages57
JournalDuke Mathematical Journal
Volume141
Issue number3
DOIs
StatePublished - 15 Feb 2008

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