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arXiv · 1709.06164

Enveloping algebras of color hom-Lie algebras

A. R. Armakan·S. Silvestrov·M. R. Farhangdoost
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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 Poincar{\'e}-Birkhoff-Witt theorem for Lie algebras to the enveloping algebra of an involutive color hom-Lie algebra.

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BibTeXRIS

A. R. Armakan, S. Silvestrov, M. R. Farhangdoost. 2017-09-18. Enveloping algebras of color hom-Lie algebras. https://arxiv.org/abs/1709.06164

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