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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

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Theta correspondences for $\operatorname {GSp}(4)$
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by Wee Teck Gan and Shuichiro Takeda
Represent. Theory 15 (2011), 670-718
Published electronically: November 1, 2011


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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Bibliographic 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