• Corpus ID: 51962485

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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