Enveloping algebras of color hom-Lie algebras

Authors

ABDOREZA ARMAKAN
SERGEI SILVESTROV
MOHAMMAD REZA FARHANGDOOST

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.

DOI

10.3906/mat-1808-96

Keywords

Color hom-Lie algebra, enveloping algebra

First Page

316

Last Page

339

Recommended Citation

ARMAKAN, A, SILVESTROV, S, & FARHANGDOOST, M. R (2019). Enveloping algebras of color hom-Lie algebras. Turkish Journal of Mathematics 43 (1): 316-339. https://doi.org/10.3906/mat-1808-96