A non-abelian tensor product of Hom-Lie algebras

Abstract

Non-abelian tensor product of Hom-Lie algebras is constructed and studied. This tensor product is used to describe universal ($\alpha$-)central extensions of Hom-Lie algebras and to establish a relation between cyclic and Milnor cyclic homologies of Hom-associative algebras satisfying certain additional condition.Comment: arXiv admin note: text overlap with arXiv:1601.0782