English

On classification of Filiform Hom-Lie algebras

Rings and Algebras 2018-07-24 v1 Representation Theory

Abstract

The purpose of this paper is to introduce and study nilpotent and filiform Hom-Lie algebras. Moreover, we extend Vergne and Khakimdjanov's approach to Hom-type algebras and provide a classification of filiform Hom-Lie algebras of dimension n,n7n,n\leq7.

Keywords

Cite

@article{arxiv.1807.08324,
  title  = {On classification of Filiform Hom-Lie algebras},
  author = {Abdenacer Makhlouf and Mourad Mehidi},
  journal= {arXiv preprint arXiv:1807.08324},
  year   = {2018}
}