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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the finite dimensional unitary representations of Kazhdan groups
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by A. Rapinchuk PDF
Proc. Amer. Math. Soc. 127 (1999), 1557-1562 Request permission

Abstract:

We use A. Weil’s criterion to prove that all finite dimensional unitary representations of a discrete Kazhdan group are locally rigid. It follows that any such representation is unitarily equivalent to a unitary representation over some algebraic number field.
References
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Additional Information
  • A. Rapinchuk
  • Affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22903
  • MR Author ID: 206801
  • Email: asr3x@weyl.math.virginia.edu
  • Received by editor(s): July 18, 1997
  • Received by editor(s) in revised form: September 3, 1997
  • Published electronically: January 29, 1999
  • Additional Notes: The author is partially supported by NSF Grant DMS-9700474.
  • Communicated by: Roe Goodman
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 1557-1562
  • MSC (1991): Primary 22D10; Secondary 22E40, 20G15
  • DOI: https://doi.org/10.1090/S0002-9939-99-04696-1
  • MathSciNet review: 1476387