ON ISOMORPHISM CRITERIA FOR LEIBNIZ CENTRAL EXTENSIONS OF A LINEAR DEFORMATION OF μn

DOI10.1142/S021819671100642XzbMath1258.17005OpenAlexW2162725176WikidataQ122906784 ScholiaQ122906784MaRDI QIDQ3094334

Munther A. Hassan, Isamiddin S. Rakhimov

Publication date: 24 October 2011

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021819671100642x

zbMATH Keywords

Lie algebracentral extensionfiliform Leibniz algebraisomorphism criterion

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Solvable, nilpotent (super)algebras (17B30) Leibniz algebras (17A32) Computational methods for problems pertaining to nonassociative rings and algebras (17-08)

Related Items (9)

Isomorphism classes and invariants of low-dimensional filiform Leibniz algebras ⋮ On classification problem of Loday algebras ⋮ The global extension problem, co-flag and metabelian Leibniz algebras ⋮ On isomorphism criterion for a subclass of complex filiform Leibniz algebras ⋮ Unified products for Leibniz algebras. Applications ⋮ Description of some classes of Leibniz algebras ⋮ 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

Uses Software

• Maple

Cites Work

• Conjugacy of Cartan subalgebras of complex finite-dimensional Leibniz algebras
• Leibniz cohomology for differentiable manifolds
• Universal enveloping algebras of Leibniz algebras and (co)homology
• Leibniz algebras associated with foliations.
• Leibniz algebras, Courant algebroids, and multiplications on reductive homogeneous spaces
• Leibniz algebras in characteristic
• On Isomorphisms and Invariants of Finite Dimensional Complex 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
• Leibniz Central Extensions on Some Infinite-Dimensional Lie Algebras
• ON LIE-LIKE COMPLEX FILIFORM LEIBNIZ ALGEBRAS
• Dialgebras and related operads

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