Groups, Geometry, and Dynamics

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Volume 9, Issue 1, 2015, pp. 55–65
DOI: 10.4171/GGD/305

Published online: 2015-04-28

Graphs and two-step nilpotent Lie algebras

Meera G. Mainkar[1]

(1) 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.

Keywords: Nilpotent Lie algebras

Mainkar Meera: Graphs and two-step nilpotent Lie algebras. Groups Geom. Dyn. 9 (2015), 55-65. doi: 10.4171/GGD/305