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arxiv: 1409.1729 · v2 · pith:IFSF7J4Lnew · submitted 2014-09-05 · 🧮 math.RA

A non-abelian tensor product of Hom-Lie algebras

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keywords algebrashom-lieproducttensorcyclicnon-abelianadditionalalpha
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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.

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