A short note on 2-step nilpotent Lie algebras associated with graphs

2010/10/19 by Meera Mainkar, Mainkar, Meera G.
Mathematics · #Advanced Topics in Algebra #Finite Group Theory Research #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1010.4005

Abstract

In this note we consider 2-step nilpotent Lie algebras associated with graphs. We prove that 2-step nilpotent Lie algebras \n and \n' associated with graphs (S, E) and (S', E') respectively are isomorphic if and only if (S, E) and (S', E') are isomorphic.

Related

• Graphs and and two-step nilpotent Lie algebras
• Rigid 2-step graph Lie algebras
• Lie algebras associated with labeled directed graphs
• Two-Step and Three-Step Nilpotent Lie Algebras Constructed from Schreier Graphs
• Lie bialgebra structures on 2-step nilpotent graph algebras