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arXiv · 2506.23528

Abelian extensions of five-dimensional solvable Leibniz algebras

A. Kh. Khudoyberdiyev·S. A. Sheraliyeva
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Abstract

In this work, we extend the central extension method for solvable Leibniz algebras. Using this method, a complete classification of one-dimensional abelian extensions of five-dimensional solvable Leibniz algebras with a non-trivial three-dimensional nilradical is obtained. Furthermore, we explore extensions of solvable Leibniz algebras whose nilradical is null-filiform, establishing that, in this case, there exists a unique solvable abelian extension.

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BibTeXRIS

A. Kh. Khudoyberdiyev, S. A. Sheraliyeva. 2025-06-30. Abelian extensions of five-dimensional solvable Leibniz algebras. https://arxiv.org/abs/2506.23528

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