Andrei Stepanovich Rapinchuk
Abstract
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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.
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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.
Key concepts: Unitary state, Unitary representation, Mathematics, Induced representation, Pure mathematics, Unitary group, Representation (politics), Algebraic number