Faithful Lie algebra modules and quotients of the universal enveloping algebra

2010/06/10 by Burde, Dietrich, Moens, Wolfgang Alexander
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1006.2062

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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