Graphs and and two-step nilpotent Lie 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.

7 pages, accepted in Groups, Geometry and Dynamics

Cited by in corpus (2)

• Solvable Lie algebras and graphs
• Two-Step and Three-Step Nilpotent Lie Algebras Constructed from Schreier Graphs