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On the universal α-central extension of the semidirect product of Hom-Leibniz algebras
- J. Casas, N. P. Rego
- Mathematics
- 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…
A Non-abelian Tensor Product of Hom–Lie Algebras
- J. Casas, E. Khmaladze, N. P. Rego
- Mathematics
- 5 September 2014
Non-abelian tensor product of Hom–Lie algebras is constructed and studied. This tensor product is used to describe universal ($$\alpha $$α)-central extensions of Hom–Lie algebras and to establish a…
On universal central extensions of Hom-Lie algebras
- J. Casas, M. Insua, N. P. Rego
- Mathematics
- 26 September 2012
We develop a theory of universal central extensions of Hom-Lie algebras. Classical results of universal central extensions of Lie algebras cannot be completely extended to Hom-Lie algebras setting,…
On universal central extensions of Hom_Leibniz algebras
- J. Casas, M. Insua, N. P. Rego
- Mathematics
- 27 September 2012
In the category of Hom-Leibniz algebras we introduce the notion of representation as adequate coefficients to construct the chain complex to compute the Leibniz homology of Hom-Leibniz algebras. We…
Lie-central derivations, Lie-centroids and Lie-stem Leibniz algebras
- G. Biyogmam, J. Casas, N. P. Rego
- Mathematics
- 17 July 2019
In this paper, we introduce the notion Lie-derivation. This concept generalizes derivations for non-Lie Leibniz algebras. We study these Lie-derivations in the case where their image is contained in…
Universal $\alpha$-central extensions of hom-Leibniz $n$-algebras
- J. Casas, N. P. Rego
- Mathematics
- 4 July 2016
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…
On the Universal $$\alpha $$α-Central Extension of the Semi-direct Product of Hom-Leibniz Algebras
- J. Casas, N. P. Rego
- Mathematics
- 20 September 2013
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…