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arXiv · 1708.01753

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

Antonio Calderón·Luisa Camacho·Ivan Kaygorodov·Bakhrom Omirov
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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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Antonio Calderón, Luisa Camacho, Ivan Kaygorodov, Bakhrom Omirov. 2017-08-05. Abelian groups gradings on null-filiform and one-parametric filiform Leibniz algebras. https://doi.org/10.1016/j.geomphys.2021.104384

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