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arXiv · 1607.00767

Universal $\alpha$-central extensions of hom-Leibniz $n$-algebras

J. M. Casas·N. Pacheco Rego
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Abstract

We construct homology with trivial coefficients of Hom-Leibniz $n$-algebras. We introduce and characterize universal ($\alpha$)-central extensions of Hom-Leibniz $n$-algebras. In particular, we show their interplay with the zeroth and first homology with trivial coefficients. When $n=2$ we recover the corresponding results on universal central extensions of Hom-Leibniz algebras. The notion of non-abelian tensor product of Hom-Leibniz $n$-algebras is introduced and we establish its relationship with the universal central extensions. We develop a generalization of the concept and properties of unicentral Leibniz algebras to the setting of Hom-Leibniz $n$-algebras.

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J. M. Casas, N. Pacheco Rego. 2016-07-04. Universal $\alpha$-central extensions of hom-Leibniz $n$-algebras. https://arxiv.org/abs/1607.00767

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