paper

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

arXiv:1708.01753 · doi:10.1016/j.geomphys.2021.104384

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.

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