Constructions and Cohomology of color Hom-Lie algebras

Abstract

The main purpose of this paper is to define representations and a cohomology of color Hom-Lie algebras and to study some key constructions and properties. We describe Hartwig-Larsson-Silvestrov Theorem in the case of -graded algebras, study one-parameter formal deformations, discuss αk-generalized derivation and provide examples.

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