On the finite dimensional unitary representations of Kazhdan groups
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- by A. Rapinchuk
- Proc. Amer. Math. Soc. 127 (1999), 1557-1562
- DOI: https://doi.org/10.1090/S0002-9939-99-04696-1
- Published electronically: January 29, 1999
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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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Bibliographic 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