Yau-type ternary Hom-Lie bialgebras

Abstract

The purpose of this paper is to introduce and study 3-Hom-Lie bialgebras, which are a ternary version of HomLie bialgebras introduced by Yau (2015). We provide their properties, some key constructions and their 3-dimensional classification. Moreover we discuss their representation theory and their generalized derivations and coderivations. Furthermore, a more generalized notion called generalized 3-Hom-Lie bialgebra is also considered.