Faithful Lie algebra modules and quotients of the universal enveloping algebra
Representation Theory
2010-06-11 v1
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.
Keywords
Cite
@article{arxiv.1006.2062,
title = {Faithful Lie algebra modules and quotients of the universal enveloping algebra},
author = {Dietrich Burde and Wolfgang Alexander Moens},
journal= {arXiv preprint arXiv:1006.2062},
year = {2010}
}