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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Theta correspondences for $\operatorname {GSp}(4)$
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by Wee Teck Gan and Shuichiro Takeda PDF
Represent. Theory 15 (2011), 670-718 Request permission


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
  • MR Author ID: 621634
  • Email:
  • Shuichiro Takeda
  • Affiliation: Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, Indiana 47907-2067
  • MR Author ID: 873141
  • Email:
  • Received by editor(s): June 15, 2010
  • Received by editor(s) in revised form: March 10, 2011
  • Published electronically: November 1, 2011
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 15 (2011), 670-718
  • MSC (2010): Primary 11F27, 11S37, 11S99, 20G99, 22E50
  • DOI:
  • MathSciNet review: 2846304