Graphs and two-step nilpotent Lie algebras

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13 Scopus citations

Abstract

We consider amethod 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.

Original languageEnglish
Pages (from-to)55-65
Number of pages11
JournalGroups, Geometry, and Dynamics
Volume9
Issue number1
DOIs
StatePublished - 2015

Keywords

  • Nilpotent Lie algebras

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