Turkish Journal of Mathematics
Abstract
The purpose of this paper is to introduce and study $3$-Hom-Lie bialgebras, which are a ternary version of Hom-Lie 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.
DOI
10.3906/mat-2004-67
Keywords
$3$-Hom-Lie bialgebra, multiplicative $3$-Hom-Lie bialgebra, extension, classification, representation, generalized derivation
First Page
1209
Last Page
1240
Recommended Citation
ABDAOUI, E, MABROUK, S, MAKHLOUF, A, & MASSOUD, S (2021). Yau-type ternary Hom-Lie bialgebras. Turkish Journal of Mathematics 45 (3): 1209-1240. https://doi.org/10.3906/mat-2004-67
