Cohomology of compatible BiHom-Lie algebras

Published 7 Feb 2023 in math.RA | (2303.12906v1)

Abstract: This paper defines compatible BiHom-Lie algebras by twisting the compatible Lie algebras by two linear commuting maps. We show the characterization of compatible BiHom-Lie algebra as a Maurer-Cartan element in a suitable bidifferential graded Lie algebra. We also define a cohomology theory for compatible BiHom-Lie algebras.

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