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arXiv · 2202.03137

Cohomology and deformations of compatible Hom-Lie algebras

Apurba Das
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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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Apurba Das. 2022-02-07. Cohomology and deformations of compatible Hom-Lie algebras. https://doi.org/10.1016/j.geomphys.2023.104951

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