\(n\)-dimensional filiform Leibniz algebras of length \((n-1)\) and their derivations

DOI10.1016/j.jalgebra.2007.12.014zbMath1208.17002arXivmath/0703631OpenAlexW2133316847WikidataQ123344966 ScholiaQ123344966MaRDI QIDQ2474282

Shavkat A. Ayupov, A. Kh. Khudoyberdiyev, Bakhrom A. Omirov, Sergio A. Albeverio

Publication date: 5 March 2008

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0703631

zbMATH Keywords

filiform Lie algebraderivationgradationfiliform Leibniz algebra

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Leibniz algebras (17A32) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items (18)

Arbitrary algebras with a multiplicative basis ⋮ The global extension problem, co-flag and metabelian Leibniz algebras ⋮ On split Leibniz superalgebras ⋮ On isomorphism criterion for a subclass of complex filiform Leibniz algebras ⋮ Unified products for Leibniz algebras. Applications ⋮ Graded extended Lie-type algebras ⋮ Local and 2-local derivations and automorphisms on simple Leibniz algebras ⋮ Pre-derivations and description of non-strongly nilpotent filiform Leibniz algebras ⋮ Leibniz algebras admitting a multiplicative basis ⋮ \(k\)-modules over linear spaces by \(n\)-linear maps admitting a multiplicative basis ⋮ Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second typeℒ² ⋮ The classification of non-characteristically nilpotent filiform Leibniz algebras ⋮ On isomorphism classes and invariants of a subclass of low-dimensional complex filiform Leibniz algebras ⋮ Solvable extensions of naturally graded quasi-filiform Leibniz algebras of second type ℒ¹ and ℒ³ ⋮ On split Leibniz algebras ⋮ On the Structure of Graded Leibniz Algebras ⋮ Leibniz superalgebras with a set grading ⋮ Right and left solvable extensions of an associative Leibniz algebra

Cites Work

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• Universal enveloping algebras of Leibniz algebras and (co)homology
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• On nilpotent Lie algebras having a torus of derivations
• On the derivations of filiform Leibniz algebras
• On Classification of Filiform Leibniz Algebras
• Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes
• Quasi-filiform Lie algebras of maximum length

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