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

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

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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Veröffentlicht in:Journal of geometry and physics 2021-12, Vol.170, p.104384, Article 104384
Hauptverfasser: Calderón, Antonio Jesús, Camacho, Luisa María, Kaygorodov, Ivan, Omirov, Bakhrom
Format: Artikel
Sprache:eng
Schlagworte:
Automorphism
Grading
Leibniz algebra
Nilpotent algebra
Torus
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Zusammenfassung: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.
ISSN:0393-0440
1879-1662
DOI:10.1016/j.geomphys.2021.104384