The classification of 4-dimensional Leibniz algebras

2013/01/31 by Canete, Elisa M., Khudoyberdiyev, Abror Kh. · 3 citations
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1301.7665

Abstract

This paper is a contribution to the development of the non associative algebras theory. More precisely, this work deals with the classification of the complex 4-dimensional Leibniz algebras. Note that the classification of 4-dimensional nilpotent complex Leibniz algebras was obtained in [1]. Therefore we will only consider non nilpotent case in this work.

Cited by

• On Lie-holomorphs of Leibniz algebras
• Abelian extensions of five-dimensional solvable Leibniz algebras
• Associative triple trisystems and standard embeddings

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• Classification of 4-dimensional nilpotent complex Leibniz algebras
• On Classification of Four Dimensional Nilpotent Leibniz Algebras
• The algebraic and geometric classification of nilpotent binary and mono Leibniz algebras
• The algebraic and geometric classification of nilpotent Leibniz algebras
• Classification of 5-Dimensional Complex Nilpotent Leibniz Algebras