Cohomology and deformations of 3-Lie colour algebras

Abstract

In this paper, we introduce the concept of -Lie colour algebras which is a generalization of -Lie algebras. The cohomology theory of 3-Lie colour algebras is developed. The deformations of 3-Lie colour algebras are considered via the cohomology theory. We also study the abelian extensions of 3-Lie colour algebras in details.