3-Filiform Leibniz algebras of maximum length, whose naturally graded algebras are Lie algebras

DOI10.1080/03081087.2011.554416zbMath1226.17003OpenAlexW2009561633WikidataQ115299842 ScholiaQ115299842MaRDI QIDQ3090747

J. R. Gómez, L. M. Camacho, Elisa M. Cañete, Bakhrom A. Omirov

Publication date: 1 September 2011

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2011.554416

zbMATH Keywords

Lie algebranilpotencecharacteristic sequenceLeibniz algebramaximum lengthnatural gradation\(p\)-filiform

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Graded Lie (super)algebras (17B70) Leibniz algebras (17A32) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items (10)

The classification of \(n\)-dimensional non-Lie Malcev algebras with \((n-4)\)-dimensional annihilator ⋮ 3-filiform Leibniz algebras of maximum length ⋮ Classification of filiform Lie algebras of order 3 ⋮ On split Leibniz superalgebras ⋮ Classification of nilpotent Malcev algebras of small dimensions over arbitrary fields of characteristic not 2 ⋮ \(p\)-filiform Leibniz algebras of maximum length ⋮ Leibniz algebras admitting a multiplicative basis ⋮ Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second typeℒ² ⋮ Solvable extensions of naturally graded quasi-filiform Leibniz algebras of second type ℒ¹ and ℒ³ ⋮ Right and left solvable extensions of an associative Leibniz algebra

Cites Work

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• Classification des algèbres de Lie nilpotentes complexes de dimension 7. (Classification of nilpotent complex Lie algebras of dimension 7)
• Naturally graded quasi-filiform Lie algebras
• On the derivations of filiform Leibniz algebras
• On isomorphism classes and invariants of a subclass of low-dimensional complex filiform Leibniz algebras
• Non-abelian Tensor Product of Leibniz Algebras and an Exact Sequence in Leibniz Homology
• Quasi-filiform Lie algebras of maximum length

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