A new solution to Hom-Yang–Baxter equations
Volume 157 / 2019
Colloquium Mathematicum 157 (2019), 121-131
MSC: Primary 16W30; Secondary 17A30.
DOI: 10.4064/cm7435-6-2018
Published online: 15 March 2019
Abstract
The paper is concerned with solutions to Hom-Yang–Baxter equations. Relying on the work of Li et al. and D. Yau, we first introduce the concept of weak Hom-Hopf algebras whose structure maps satisfy an $\alpha $-twisted version of (co)associativity and antipode. Then some non-trivial examples and properties are investigated. We also construct a braided almost Hom-bialgebra, that is, a quantum double of weak Hom-Hopf algebras.
