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

Meera G. Mainkar

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

Differential Geometry 2013-10-15 v2

Authors: Meera G. Mainkar

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.

Keywords

nilpotent groups lie algebras and superalgebras graph theory

Cite

@article{arxiv.1010.4005,
  title  = {A short note on 2-step nilpotent Lie algebras associated with graphs},
  author = {Meera G. Mainkar},
  journal= {arXiv preprint arXiv:1010.4005},
  year   = {2013}
}

Comments

This paper has been withdrawn by the author due to some mistakes in proof of the main theorem. The correct version (with different title) will be uploaded soon

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

Abstract

Keywords

Cite

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