## Duke Mathematical Journal

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

David Ginzburg

#### 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

#### 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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