A non-abelian Hom-Leibniz tensor product and applications

Abstract

The notion of non-abelian Hom-Leibniz tensor product is introduced and some properties are established. This tensor product is used in the description of the universal ($\alpha$-)central extensions of Hom-Leibniz algebras. We also give its application to the Hochschild homology of Hom-associative algebras.

arXiv admin note: text overlap with arXiv:1409.1729

References in corpus (4)

• Deformations of Lie Algebras using $\sigma$-derivations
• Representations of hom-Lie algebras
• Hom-algebras and homology
• Representations and Cohomology of n-ary multiplicative Hom-Nambu-Lie algebras