Classification of a subclass of low-dimensional complex filiform Leibniz algebras

DOI10.1080/03081080903485702zbMath1238.17002OpenAlexW2024040301WikidataQ122926748 ScholiaQ122926748MaRDI QIDQ3082875

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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/24781/1/Classification%20of%20a%20subclass%20of%20low.pdf

zbMATH Keywords

invariantisomorphismadapted basisfiliform Leibniz algebra

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Solvable, nilpotent (super)algebras (17B30) Leibniz algebras (17A32)

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 ⋮ The global extension problem, co-flag and metabelian Leibniz algebras ⋮ On description of Leibniz algebras corresponding to \(sl _{2}\) ⋮ On isomorphism criterion for a subclass of complex filiform Leibniz algebras ⋮ Unified products for Leibniz algebras. Applications ⋮ Description of some classes of Leibniz algebras ⋮ On ω-Lie superalgebras ⋮ 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 \(\mathfrak{sl}_2 \) ⋮ 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

• Leibniz homology of dialgebras of matrices
• Universal enveloping algebras of Leibniz algebras and (co)homology
• Leibniz algebras, Courant algebroids, and multiplications on reductive homogeneous spaces
• On isomorphism classes and invariants of a subclass of low-dimensional complex filiform Leibniz algebras
• ON LIE-LIKE COMPLEX FILIFORM LEIBNIZ ALGEBRAS
• Varieties of Nilpotent Complex Leibniz Algebras of Dimension Less than Five

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