# On the universal α-central extension of the semidirect product of Hom-Leibniz algebras

@inproceedings{Casas2014OnTU, title={On the universal $\alpha$-central extension of the semidirect product of Hom-Leibniz algebras}, author={Jos{\'e} Manuel Casas and N. Pacheco Rego}, year={2014} }

We introduce Hom-actions, semidirect product and establish the equivalence between split extensions and the semi-direct product extension of Hom-Leibniz algebras. We analyze the functorial properties of the universal (α)central extensions of (α)-perfect Hom-Leibniz algebras. We establish under what conditions an automorphism or a derivation can be lifted in an α-cover and we analyze the universal α-central extension of the semi-direct product of two αperfect Hom-Leibniz algebras.

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## 2 Citations

ON THE UNIVERSAL α -CENTRAL EXTENSIONS OF THE SEMI-DIRECT PRODUCT OF HOM-PRELIE ALGEBRAS

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. We study Hom-actions, semidirect product and describe the re-lation between semi-direct product extensions and split extensions of Hom- preLie algebras. We obtain the functorial properties of the…

A non-abelian exterior product of Hom-Leibniz algebras

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In this paper, we introduce a non-abelian exterior product of Hom-Leibniz algebras and investigate its relative to the Hopf’s formula. We also construct an eight-term exact sequence in the homology…

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