Cohomology and deformations of compatible Hom-Lie algebras

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Journal of Geometry and Physics

سال: 2023

ISSN: ['1879-1662', '0393-0440']

DOI: https://doi.org/10.1016/j.geomphys.2023.104951