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

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The main goal of this paper is to compute $\mu(\g)$ and $\mu {nil}(\g)$ for each nilpotent Lie algebra $\g$ of dimension 6 over a field of characteristic zero $\k$. Here $\mu(\g)$ and $\mu {nil}(\g)$ 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 $\leq 6$.

Author: Nadina Elizabeth Rojas

Source: https://archive.org/