Faithful Lie algebra modules and quotients of the universal enveloping algebra

Details Faithful Lie algebra modules and quotients of the universal enveloping algebra Faithful Lie algebra modules and quotients of the universal enveloping algebra

2010-06-10

arxiv.org/abs/1006.2062v1

Mathematics

Representation Theory

Scientific paper

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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