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arxiv: 1010.4005 · v2 · pith:4SS6FDWAnew · submitted 2010-10-19 · 🧮 math.DG

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

classification 🧮 math.DG
keywords algebrasassociatedgraphsnilpotentstepisomorphicnoteconsider
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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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