Quasitriangular Hom-Hopf algebras

• Autorzy: Yuanyuan Chen , Zhongwei Wang , Liangyun Zhang
• Języki publikacji: EN

Abstrakty

EN

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 $𝓗̃ (_Hℳ )$. Finally, we study the twisting structure of quasitriangular Hom-Hopf algebras by conjugation with Hom-2-cocycles.

Kategorie tematyczne

• 16T25: Yang-Baxter equations
• 17A30: Algebras satisfying other identities
• 16T05: Hopf algebras and their applications

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2014
• Tom: 137
• Numer: 1
• Strony: 67-88

Daty

wydano

2014

Twórcy

autor

Yuanyuan Chen

• College of Science, Nanjing Agricultural University, Nanjing 210095, P.R. China

autor

Zhongwei Wang

• Department of Basic Science, Jinling Institute of Technology, Nanjing 210069, P.R. China

autor

Liangyun Zhang

• College of Science, Nanjing Agricultural University, Nanjing 210095, P.R. China

Identyfikatory

DOI

10.4064/cm137-1-5