Cohomology of compatible BiHom-Lie algebras

Cohomology of compatible BiHom-Lie algebras

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 compa...

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Hauptverfasser: Sania, Asif, Imed, Basdouri, Mosbahi, Bouzid, Saber, Nacib
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Rings and Algebras
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Zusammenfassung: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.
DOI:10.48550/arxiv.2303.12906