The exterior product and homology of Hom-Lie algebras

Published 24 Apr 2021 in math.RA | (2104.12767v1)

Abstract: In this article, we use the theory of (non-abelian) exterior product of Hom-Lie algebras to prove the Hopf formula for these algebras. As an application, we construct an eight-term sequence in the homology of Hom-Lie algebras. We also investigate the capability property of Hom-Lie algebras via the exterior product.

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