Graphs and and two-step nilpotent Lie algebras
classification
🧮 math.DG
math.RA
keywords
graphsnilpotenttwo-stepalgebrasisomorphicalgebraariseassociated
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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.
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