Solvable extensions of naturally graded quasi-filiform Leibniz algebras of second type ℒ1 and ℒ3

DOI10.1080/00927872.2016.1270294zbMath1411.17008OpenAlexW2566659145MaRDI QIDQ4977702

Anastasia Shabanskaya

Publication date: 16 August 2017

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

Full work available at URL: https://doi.org/10.1080/00927872.2016.1270294

zbMATH Keywords

solvabilityderivationnilpotencynilradicalLeibniz algebranil-independence

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Solvable, nilpotent (super)algebras (17B30) Leibniz algebras (17A32)

Related Items (7)

Solvable extensions of the naturally graded quasi-filiform Leibniz algebras ⋮ On some classes of solvable Leibniz algebras and their completeness ⋮ Classification of solvable Leibniz algebras with abelian nilradical and (k−1)-dimensional extension ⋮ Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second typeℒ² ⋮ Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second type L4 ⋮ Solvable Leibniz algebras whose nilradical is a quasi-filiform Leibniz algebra of maximum length ⋮ Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second type L5

Cites Work

• Corrigendum to: ``Classification of solvable Leibniz algebras with naturally graded filiform nilradical.
• On description of Leibniz algebras corresponding to \(sl _{2}\)
• A characterization of nilpotent Leibniz algebras
• The classification of 4-dimensional Leibniz algebras
• Some remarks on semisimple Leibniz algebras
• An algorithm for the classification of 3-dimensional complex Leibniz algebras
• Jacobson's refinement of Engel's theorem for Leibniz algebras
• Description of some classes of Leibniz algebras
• Solvable Leibniz algebras with triangular nilradicals
• On the description of Leibniz algebras with nilindex \(n-3\)
• Quasi-filiform Leibniz algebras of maximum length
• The classification of non-characteristically nilpotent filiform Leibniz algebras
• Conjugacy of Cartan subalgebras of complex finite-dimensional Leibniz algebras
• Leibniz algebras associated with representations of filiform Lie algebras
• Naturally graded \((n-3)\)-filiform Leibniz algebras
• Naturally graded quasi-filiform Leibniz algebras
• Low-dimensional filiform Lie algebras
• Universal enveloping algebras of Leibniz algebras and (co)homology
• Classification of solvable Leibniz algebras with naturally graded filiform nilradical
• Leibniz algebras of nilindex \(n-3\) with characteristic sequence \((n-3,2,1)\)
• On a complete rigid Leibniz non-Lie algebra in arbitrary dimension
• Classifying several classes of Leibniz algebras
• On classification of 5-dimensional solvable Leibniz algebras
• Classification of solvable Lie algebras with a given nilradical by means of solvable extensions of its subalgebras
• Representations of Leibniz algebras
• On the derivations of filiform Leibniz algebras
• Leibniz algebras and Lie algebras
• \(p\)-filiform Leibniz algebras of maximum length
• \(n\)-dimensional filiform Leibniz algebras of length \((n-1)\) and their derivations
• On the degenerations of solvable Leibniz algebras
• Leibniz algebras in characteristic
• Leibniz n-algebras
• Faithful representations of Leibniz algebras
• Schunck Classes of Soluble Leibniz Algebras
• Some radicals, Frattini and Cartan subalgebras of Leibnizn-algebras
• On Engel's Theorem for Leibniz Algebras
• ON NILPOTENT LEIBNIZ n-ALGEBRAS
• On solvable Leibniz algebras whose nilradical is a direct sum of null-filiform algebras
• On degenerations of finite-dimensional nilpotent complex Leibniz algebras
• Naturally Graded 2-Filiform Leibniz Algebras
• On Isomorphisms and Invariants of Finite Dimensional Complex Filiform Leibniz Algebras
• The Classification of Naturally Gradedp-Filiform Leibniz Algebras
• On isomorphism classes and invariants of a subclass of low-dimensional complex filiform Leibniz algebras
• 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
• Some Theorems on Leibniz Algebras
• ON ISOMORPHISM CRITERIA FOR LEIBNIZ CENTRAL EXTENSIONS OF A LINEAR DEFORMATION OF μ_n
• ON LEVI’S THEOREM FOR LEIBNIZ ALGEBRAS
• ON ONE-DIMENSIONAL LEIBNIZ CENTRAL EXTENSIONS OF A FILIFORM LIE ALGEBRA
• Leibniz Algebras Associated to Extensions ofsl₂
• Isomorphism classes and invariants of low-dimensional filiform Leibniz algebras
• On Classification of Filiform Leibniz Algebras
• Solvable Lie Algebras with Quasifiliform Nilradicals
• ON LIE-LIKE COMPLEX FILIFORM LEIBNIZ ALGEBRAS
• Algèbres de Leibnitz : définitions, propriétés
• A class of solvable Lie algebras and their Casimir invariants
• ON NILPOTENT AND SIMPLE LEIBNIZ ALGEBRAS
• Solvable Lie algebras with Heisenberg ideals
• Solvable Lie algebras with Abelian nilradicals
• Lattices of Subalgebras of Leibniz Algebras
• Solvable Lie algebras with triangular nilradicals
• Solvable Leibniz Algebras with Heisenberg Nilradical
• Right and left solvable extensions of an associative Leibniz algebra
• Classification of solvable Leibniz algebras with null-filiform nilradical
• Nilpotent Lie and Leibniz Algebras
• On Nilpotent Properties of Leibniz Algebras
• Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes
• Solvable Indecomposable Extensions of Two Nilpotent Lie Algebras
• Solvable Leibniz algebras with filiform nilradical

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