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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On the character of Weil’s representation
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by Roger E. Howe PDF
Trans. Amer. Math. Soc. 177 (1973), 287-298 Request permission

Abstract:

The importance of certain representations of symplectic groups, usually called Weil representations, for the general problem of finding representations of certain group extensions is made explicit. Some properties of the character of Weil’s representation for a finite symplectic group are given and discussed, again in the context of finding representations of group extensions. As a by-product, the structure of anisotropic tori in symplectic groups is given.
References
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 177 (1973), 287-298
  • MSC: Primary 22E50; Secondary 20G05, 20G25, 22E70
  • DOI: https://doi.org/10.1090/S0002-9947-1973-0316633-5
  • MathSciNet review: 0316633