A characterization of nilpotent Leibniz algebras

DOI10.1007/s10468-012-9373-zzbMath1292.17002arXiv1204.1721OpenAlexW2056982385MaRDI QIDQ385534

A. Kh. Khudoyberdiyev, Alice Fialowski, Bakhrom A. Omirov

Publication date: 2 December 2013

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.1721

zbMATH Keywords

solvabilityLie algebraderivationnilpotencyLeibniz algebraLeibniz-derivation

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Leibniz algebras (17A32)

Related Items (17)

On the Kantor product ⋮ A characterization of nilpotent nonassociative algebras by invertible Leibniz-derivations ⋮ Relationships between factors of canonical central series of Leibniz algebras ⋮ Itô’s theorem and metabelian Leibniz algebras ⋮ Leibniz algebras associated with representations of filiform Lie algebras ⋮ On the classification of 3-dimensional complex hom-Lie algebras ⋮ On the existence of ad-nilpotent elements ⋮ Degenerations of Zinbiel and nilpotent Leibniz algebras ⋮ On derivations of semisimple Leibniz algebras ⋮ Pre-derivations and description of non-strongly nilpotent filiform Leibniz algebras ⋮ Leibniz algebras admitting a multiplicative basis ⋮ On classification of 5-dimensional solvable Leibniz algebras ⋮ Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second typeℒ² ⋮ Leibniz algebras of Heisenberg type ⋮ Solvable extensions of naturally graded quasi-filiform Leibniz algebras of second type ℒ¹ and ℒ³ ⋮ Poisson brackets, Novikov-Leibniz structures and integrable Riemann hydrodynamic systems ⋮ Right and left solvable extensions of an associative Leibniz algebra

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