# A Non-abelian Tensor Product of Hom–Lie Algebras

@article{Casas2014ANT,
title={A Non-abelian Tensor Product of Hom–Lie Algebras},
author={Jos{\'e} Manuel Casas and Emzar Khmaladze and N. Pacheco Rego},
journal={Bulletin of the Malaysian Mathematical Sciences Society},
year={2014},
volume={40},
pages={1035-1054}
}
• Published 5 September 2014
• Mathematics
• Bulletin of the Malaysian Mathematical Sciences Society
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 relation between cyclic and Milnor cyclic homologies of Hom-associative algebras satisfying certain additional condition.
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