Enveloping algebras of color hom-Lie algebras

Authors : Abdoreza ARMAKAN, Sergei SILVESTROV, Mohammad Reza FARHANGDOOST

Pages : 316-339

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this paper, the universal enveloping algebra of color hom-Lie algebras is studied. A construction of the free involutive hom-associative color algebra on a hom-module is described and applied to obtain the universal enveloping algebra of an involutive hom-Lie color algebra. Finally, the construction is applied to obtain the well-known Poincaré-Birkhoff-Witt theorem for Lie algebras to the enveloping algebra of an involutive color hom-Lie algebra.
Keywords : Color hom Lie algebra, enveloping algebra