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

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

2010-10-19

arxiv.org/abs/1010.4005v1

Mathematics

Differential Geometry

3 pages

Scientific paper

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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