A short note on 2-step nilpotent Lie algebras associated with graphs

preprint2013arXivOpen access

In this note we consider 2-step nilpotent Lie algebras associated with graphs. We prove that 2-step nilpotent Lie algebras $\n$ and $\n'$ associated with graphs $(S, E)$ and $(S', E')$ respectively are isomorphic if and only if $(S, E)$ and $(S', E')$ are isomorphic.

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A short note on 2-step nilpotent Lie algebras associated with graphs

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