BiHom-Lie colour algebras structures

2017/06/06 by K. Abdaoui, Abdelkader Ben Hassine, Abdaoui, Kadri +3
Mathematics · #17B40 #17B55 #17B75 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1706.02188

openalex publication_date 2017/06/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

BiHom-Lie Colour algebra is a generalized Hom-Lie Colour algebra endowed with two commuting multiplicative linear maps. The main purpose of this paper is to define representations and a cohomology of BiHom-Lie colour algebras and to study some key constructions and properties. Moreover, we discuss α^kβ^l-generalized derivations, α^kβ^l-quasi-derivations and α^kβ^l-quasi-centroid. We provide some properties and their relationships with BiHom-Jordan colour algebra.

Citations

• Generalized derivations of (color)n-ary algebras
• Representations of Bihom-Lie algebras

Related

• Constructions and generalised derivations of multiplicative n-BiHom-Lie color algebras
• Representations of Bihom-Lie algebras
• Constructions and Cohomology of color Hom-Lie algebras
• (Bi)Hom-Leibniz algebras
• Color Hom-Lie algebras, color Hom-Leibniz algebras and color omni-Hom-Lie algebras