Graphs and and two-step nilpotent Lie algebras
Differential Geometry
2013-10-15 v1 Rings and Algebras
Abstract
We consider a method popular in the literature of associating a two-step nilpotent Lie algebra with a finite simple graph. We prove that the two-step nilpotent Lie algebras associated with two graphs are Lie isomorphic if and only if the graphs from which they arise are isomorphic.
Cite
@article{arxiv.1310.3414,
title = {Graphs and and two-step nilpotent Lie algebras},
author = {Meera G. Mainkar},
journal= {arXiv preprint arXiv:1310.3414},
year = {2013}
}
Comments
7 pages, accepted in Groups, Geometry and Dynamics