On isomorphism classes and invariants of a subclass of low-dimensional complex filiform Leibniz algebras

DOI10.1080/03081080903357646zbMath1237.17008OpenAlexW2049598159WikidataQ122897570 ScholiaQ122897570MaRDI QIDQ3082863

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Publication date: 17 March 2011

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

Full work available at URL: http://psasir.upm.edu.my/id/eprint/15902/1/On%20isomorphism%20classes%20and%20invariants%20of%20a%20subclass%20of%20low.pdf

zbMATH Keywords

isomorphisminvariant functionfiliform Leibniz algebra

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Solvable, nilpotent (super)algebras (17B30) Leibniz algebras (17A32) Other (n)-ary compositions ((n ge 3)) (17A42)

Related Items (16)

Isomorphism classes and invariants of low-dimensional filiform Leibniz algebras ⋮ On classification problem of Loday algebras ⋮ Classification of filiform Lie algebras of order 3 ⋮ On description of Leibniz algebras corresponding to \(sl _{2}\) ⋮ On isomorphism criterion for a subclass of complex filiform Leibniz algebras ⋮ Some Convolution Identities for Catalan Numbers ⋮ Description of some classes of Leibniz algebras ⋮ On classification of 5-dimensional solvable Leibniz algebras ⋮ Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second typeℒ² ⋮ On Leibniz superalgebras with even part corresponding to \(\mathfrak{sl}_2 \) ⋮ Classification of a subclass of low-dimensional complex filiform Leibniz algebras ⋮ 3-Filiform Leibniz algebras of maximum length, whose naturally graded algebras are Lie algebras ⋮ Solvable extensions of naturally graded quasi-filiform Leibniz algebras of second type ℒ¹ and ℒ³ ⋮ ON ISOMORPHISM CRITERIA FOR LEIBNIZ CENTRAL EXTENSIONS OF A LINEAR DEFORMATION OF μ_n ⋮ AN ALGORITHM FOR A CLASSIFICATION OF THREE-DIMENSIONAL LEIBNIZ ALGEBRAS OVER ARBITRARY FIELDS ⋮ Right and left solvable extensions of an associative Leibniz algebra

Cites Work

• Applications of a noncommutative Jacobian matrix
• Low-dimensional filiform Lie algebras
• Universal enveloping algebras of Leibniz algebras and (co)homology
• Partial derivatives and endomorphisms of some relatively free Lie algebras
• \(n\)-dimensional filiform Leibniz algebras of length \((n-1)\) and their derivations
• ON LIE-LIKE COMPLEX FILIFORM LEIBNIZ ALGEBRAS
• Subalgebras of free leibniz algebras

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