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arXiv · 2303.12906

Cohomology of compatible BiHom-Lie algebras

Asif Sania·Basdouri Imed·Bouzid Mosbahi·Nacib Saber
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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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Asif Sania, Basdouri Imed, Bouzid Mosbahi, Nacib Saber. 2023-02-07. Cohomology of compatible BiHom-Lie algebras. https://arxiv.org/abs/2303.12906

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