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Representation Theory
Representation Theory
ISSN 1088-4165

 

Theta correspondences for $ \operatorname{GSp}(4)$


Authors: Wee Teck Gan and Shuichiro Takeda
Journal: Represent. Theory 15 (2011), 670-718
MSC (2010): Primary 11F27, 11S37, 11S99, 20G99, 22E50
Published electronically: November 1, 2011
MathSciNet review: 2846304
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Abstract | References | Similar Articles | Additional Information

Abstract: We explicitly determine the theta correspondences for $ \operatorname {GSp}_4$ and orthogonal similitude groups associated to various quadratic spaces of rank $ 4$ and $ 6$. The results are needed in our proof of the local Langlands correspondence for $ \operatorname {GSp}_4$.


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Additional Information

Wee Teck Gan
Affiliation: Mathematics Department, University of California, San Diego, 9500 Gilman Drive, La Jolla, California 92093
Email: wgan@math.ucsd.edu

Shuichiro Takeda
Affiliation: Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, Indiana 47907-2067
Email: stakeda@math.purdue.edu

DOI: http://dx.doi.org/10.1090/S1088-4165-2011-00405-2
PII: S 1088-4165(2011)00405-2
Received by editor(s): June 15, 2010
Received by editor(s) in revised form: March 10, 2011
Published electronically: November 1, 2011
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.