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Cohomology and deformations of compatible Hom-Lie algebras

Published 7 Feb 2022 in math.RA | (2202.03137v1)

Abstract: In this paper, we consider compatible Hom-Lie algebras as a twisted version of compatible Lie algebras. Compatible Hom-Lie algebras are characterized as Maurer-Cartan elements in a suitable bidifferential graded Lie algebra. We also define a cohomology theory for compatible Hom-Lie algebras generalizing the recent work of Liu, Sheng and Bai. As applications of cohomology, we study abelian extensions and deformations of compatible Hom-Lie algebras.

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Authors (1)

  1. Apurba Das 

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