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Constructions and Cohomology of color Hom-Lie algebras

Published 9 Jul 2013 in math.RA and math.RT | (1307.2612v1)

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 $\Gamma$-graded algebras, study one-parameter formal deformations, discuss $\alpha{k}$-generalized derivation and provide examples.

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