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Faithful Lie algebra modules and quotients of the universal enveloping algebra (1006.2062v1)
Published 10 Jun 2010 in math.RT
Abstract: We describe a new method to determine faithful representations of small dimension for a finite dimensional nilpotent Lie algebra. We give various applications of this method. In particular we find a new upper bound on the minimal dimension of a faithful module for the Lie algebras being counter examples to a well known conjecture of J. Milnor.
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