Title: 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.