Graphs and two-step nilpotent Lie algebras

  • Meera G. Mainkar

    Central Michigan University, Mount Pleasant, USA


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 this article

Meera G. Mainkar, Graphs and two-step nilpotent Lie algebras. Groups Geom. Dyn. 9 (2015), no. 1, pp. 55–65

DOI 10.4171/GGD/305