Quasitriangular Hom-Hopf algebras
Volume 137 / 2014
Colloquium Mathematicum 137 (2014), 67-88
MSC: 16T05, 16T25, 17A30.
DOI: 10.4064/cm137-1-5
Abstract
A twisted generalization of quasitriangular Hopf algebras called quasitriangular Hom-Hopf algebras is introduced. We characterize these algebras in terms of certain morphisms. We also give their equivalent description via a braided monoidal category $\widetilde{\mathcal{H}}(_H\mathcal {M})$. Finally, we study the twisting structure of quasitriangular Hom-Hopf algebras by conjugation with Hom-2-cocycles.
