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2 results on '"17A32, 17B30, 17B40"'

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

Author

Calderón, Antonio, Camacho, Luisa, Kaygorodov, Ivan, and Omirov, Bakhrom

Subjects
Mathematics - Rings and Algebras, 17A32, 17B30, 17B40
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.

Published
2017
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2. Abelian groups gradings on null-filiform and one-parametric filiform Leibniz algebras

Author

Ivan Kaygorodov, Bakhrom Omirov, Luisa M. Camacho, and Antonio Jesús Calderón

Subjects
Leibniz algebra, Pure mathematics, Mathematics::Dynamical Systems, Mathematics::Commutative Algebra, Mathematics::History and Overview, Mathematics::Rings and Algebras, Null (mathematics), General Physics and Astronomy, Torus, Mathematics - Rings and Algebras, Nilpotent algebra, Automorphism, Rings and Algebras (math.RA), 17A32, 17B30, 17B40, FOS: Mathematics, Geometry and Topology, Abelian group, Mathematics::Representation Theory, Mathematical Physics, Parametric statistics, Mathematics
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.

Published
2021

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