Groups, Geometry, and Dynamics
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Published online: 2015-04-28
Graphs and two-step nilpotent Lie algebrasMeera G. Mainkar (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