Braided monoidal categories and Doi-Hopf modules for monoidal Hom-Hopf algebras

• Autorzy: Shuangjian Guo , Xiaohui Zhang , Shengxiang Wang
• Języki publikacji: EN

Abstrakty

EN

We continue our study of the category of Doi Hom-Hopf modules introduced in [Colloq. Math., to appear]. We find a sufficient condition for the category of Doi Hom-Hopf modules to be monoidal. We also obtain a condition for a monoidal Hom-algebra and monoidal Hom-coalgebra to be monoidal Hom-bialgebras. Moreover, we introduce morphisms between the underlying monoidal Hom-Hopf algebras, Hom-comodule algebras and Hom-module coalgebras, which give rise to functors between the category of Doi Hom-Hopf modules, and we study tensor identities for monodial categories of Doi Hom-Hopf modules. Furthermore, we construct a braiding on the category of Doi Hom-Hopf modules. Finally, as an application of our theory, we get a braiding on the category of Hom-modules, on the category of Hom-comodules, and on the category of Hom-Yetter-Drinfeld modules.

Kategorie tematyczne

• 16T05: Hopf algebras and their applications

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2016
• Tom: 143
• Numer: 1
• Strony: 79-103

Daty

wydano

2016

Twórcy

autor

Shuangjian Guo

• Department of Mathematics, Zhejiang University, Hangzhou, 310027, P.R. China
• School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang, 550025, P.R. China

autor

Xiaohui Zhang

• School of Mathematical Sciences, Qufu Normal University, Qufu 273165, P.R. China

autor

Shengxiang Wang

• School of Mathematics and Finance, Chuzhou University, Chuzhou 239000, P.R. China
• Department of Mathematics, Nanjing University, Nanjing 210093, P.R. China

Identyfikatory

DOI

10.4064/cm6509-12-2015