BiHom-Lie colour algebras structures

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 ${\alpha }^k{\beta }^l$-generalized derivations, ${\alpha }^k{\beta }^l$-quasi-derivations and ${\alpha }^k{\beta }^l$-quasi-centroid. We provide some properties and their relationships with BiHom-Jordan colour algebra.

27 pages. arXiv admin note: text overlap with arXiv:1307.2612; text overlap with arXiv:1005.1127 by other authors

References in corpus (3)

• Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras
• Representations of Bihom-Lie algebras
• BiHom-Lie superalgebra structures

Cited by in corpus (1)

• On split regular BiHom-Poisson superalgebras