A non-abelian tensor product of Hom-Lie algebras

2014/09/05 by J. M. Casas, Casas, J. M., Emzar Khmaladze +3
Mathematics · #17A30 #17B55 #17B60 #18G35 #18G60 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1409.1729

openalex publication_date 2014/09/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Non-abelian tensor product of Hom-Lie algebras is constructed and studied. This tensor product is used to describe universal (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.

Related

• On some properties preserved by the non-abelian tensor product of Hom-Lie algebras
• A non-abelian Hom-Leibniz tensor product and applications
• Universal Central Extensions and Non-abelian tensor product of\n Hom-Lie-Rinehart Algebras
• The exterior product and homology of Hom-Lie algebras
• A non-abelian tensor product of algebras with bracket