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

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• Representations of hom-Lie algebras
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• Hom-Maltsev, Hom-alternative, and Hom-Jordan algebras
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Cited by in corpus (1)

• Generalized Derivations of Hom-Lie Superalgebras