Yau-type ternary Hom-Lie bialgebras

Authors

ELKADRI ABDAOUI
SAMI MABROUK
ABDENACER MAKHLOUF
SONIA MASSOUD

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, ELKADRI; MABROUK, SAMI; MAKHLOUF, ABDENACER; and MASSOUD, SONIA (2021) "Yau-type ternary Hom-Lie bialgebras," Turkish Journal of Mathematics: Vol. 45: No. 3, Article 9. https://doi.org/10.3906/mat-2004-67
Available at: https://journals.tubitak.gov.tr/math/vol45/iss3/9