Duke Mathematical Journal

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

David Ginzburg

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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

Article information

Source
Duke Math. J., Volume 141, Number 3 (2008), 447-503.

Dates
First available in Project Euclid: 15 February 2008

Permanent link to this document
https://projecteuclid.org/euclid.dmj/1203087634

Digital Object Identifier
doi:10.1215/00127094-2007-002

Mathematical Reviews number (MathSciNet)
MR2387428

Zentralblatt MATH identifier
1195.11068

Subjects
Primary: 11F70: Representation-theoretic methods; automorphic representations over local and global fields
Secondary: 22E55: Representations of Lie and linear algebraic groups over global fields and adèle rings [See also 20G05]

Citation

Ginzburg, David. Endoscopic lifting in classical groups and poles of tensor $L$ -functions. Duke Math. J. 141 (2008), no. 3, 447--503. doi:10.1215/00127094-2007-002. https://projecteuclid.org/euclid.dmj/1203087634


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