CONSTRUCTIONS AND COHOMOLOGY OF HOM-LIE COLOR ALGEBRAS.

The main purpose of this paper is to define representations and a cohomology of Horn-Lie color algebras and to study some key constructions and properties. We describe Hartwig-Larsson-Silvestrov Theorem in the case of V-graded algebras, study one-parameter formal deformations, discuss α^k-generalized derivations and provide examples. [ABSTRACT FROM AUTHOR]