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arXiv · 1309.5204

On the univeral α-central extensions of the semi-direct product of Hom-Leibniz algebras

J. M. Casas·N Pacheco Regon
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Abstract

We introduce Hom-actions, semi-direct 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 α-perfect Hom-Leibniz algebras.

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J. M. Casas, N Pacheco Regon. 2013-09-20. On the univeral α-central extensions of the semi-direct product of Hom-Leibniz algebras. https://arxiv.org/abs/1309.5204

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