Universal enveloping algebras and Poincaré-Birkhoff-Witt theorem for involutive Hom-Lie algebras

Li Guo, Bin Zhang, Shanghua Zheng

A Hom-type algebra is called involutive if its Hom map is multiplicative and involutive. In this paper, we obtain an explicit construction of the free involutive Hom-associative al…