On Classification of Four Dimensional Nilpotent Leibniz Algebras

Ismail Demir; Kailash C. Misra; Ernie Stitzinger

On Classification of Four Dimensional Nilpotent Leibniz Algebras

Rings and Algebras 2015-11-24 v1

Authors: Ismail Demir , Kailash C. Misra , Ernie Stitzinger

Abstract

Leibniz algebras are certain generalization of Lie algebras. In this paper we give the classification of four dimensional non-Lie nilpotent Leibniz algebras. We use the canonical forms for the congruence classes of matrices of bilinear forms and some other techniques to obtain our result.

Keywords

Leibniz algebras Lie algebras nilpotent algebras classification canonical forms bilinear forms matrix congruence

Cite

@article{arxiv.1511.07296,
  title  = {On Classification of Four Dimensional Nilpotent Leibniz Algebras},
  author = {Ismail Demir and Kailash C. Misra and Ernie Stitzinger},
  journal= {arXiv preprint arXiv:1511.07296},
  year   = {2015}
}

Comments

6 pages

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