Classification of five-dimensional symmetric Leibniz algebras

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arxiv 2303.01905 v2 pith:KGKV3BCB submitted 2023-03-03 math.RA

Iroda Choriyeva , Abror Khudoyberdiyev This is my paper · ORCID

classification math.RA

keywords algebrasclassificationleibnizsymmetriccompletecomplexdimensionalfive-dimensional

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abstract

In this paper we give the complete classification of $5$-dimensional complex solvable symmetric Leibniz algebras.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras
math.RA 2025-04 reject novelty 4.0 of 10

The paper tabulates derivations, centroids, and inner derivations for 31 five-dimensional complex nilpotent associative algebras, but internal contradictions make the tables unreliable.
Crossed modules of ternary Leibniz algebras
math.RA 2025-01 reject novelty 4.0 of 10

The paper transfers crossed modules from triassociative and Leibniz algebras to ternary Leibniz algebras, but omits the supporting computations and contains garbled formulas.