Graphs and two-step nilpotent Lie algebras

Meera G. Mainkar

doi:10.4171/GGD/305

Graphs and two-step nilpotent Lie algebras

Meera G. Mainkar

Mathematics

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	55-65
Number of pages	11
Journal	Groups, Geometry, and Dynamics
Volume	9
Issue number	1
DOIs	https://doi.org/10.4171/GGD/305
State	Published - 2015

Keywords

Nilpotent Lie algebras

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10.4171/GGD/305

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Graphs and two-step nilpotent Lie algebras

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