Faithful Representations of Minimal Dimension of 6-dimensional nilpotent Lie algebras

Abstract

The main goal of this paper is to compute $μ(\g)$ and $μ_{nil}(\g)$ for each nilpotent Lie algebra $\g$ of dimension 6 over a field of characteristic zero $\k$. Here $μ(\g)$ and $μ_{nil}(\g)$ is the minimal dimension of a faithful representation of $\g$ and the minimal dimension of a faithful nilrepresentation of $\g$, respectively. We also give a minimal faithful representation and nilrepresentation for each nilpotent Lie algebra of dimension $\le 6$.

arXiv comment19 pages, 7 tables

References in corpus (1)

• Minimal Faithful Representation of the Heisenberg Lie Algebra with Abelian Factor

Cited by in corpus (1)

• Minimal Faithful Representation of the Heisenberg Lie Algebra with Abelian Factor