English

Abelian groups gradings on null-filiform and one-parametric filiform Leibniz algebras

Rings and Algebras 2021-11-02 v2

Abstract

We classify, up to equivalences, all abelian groups gradings on null-filiform and one-parametric filiform Leibniz algebras. Any grading on a null-filiform Leibniz algebra is toral but there are non-toral gradings on one-parametric filiform Leibniz algebras.

Keywords

Cite

@article{arxiv.1708.01753,
  title  = {Abelian groups gradings on null-filiform and one-parametric filiform Leibniz algebras},
  author = {Antonio Calderón and Luisa Camacho and Ivan Kaygorodov and Bakhrom Omirov},
  journal= {arXiv preprint arXiv:1708.01753},
  year   = {2021}
}