Cohomology of compatible BiHom-Lie algebras

2023/02/07 by Asif Sania, Imed Basdouri, Sania, Asif +5
Biochemistry, Genetics and Molecular Biology · Mathematics · #16R60 #17B05 #17B37 #17B40 #Advanced Topics in Algebra #FOS: Mathematics #Rings and Algebras (math.RA) #Sphingolipid Metabolism and Signaling

paper · pdf · doi:10.48550/arxiv.2303.12906

openalex publication_date 2023/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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