Author(s)

Yanmin Yin

Department of Mathematics, Shandong Jianzhu University, Jinan, China.

We give the Fundamental Theorem for Hopf modules  in the category of Yetter-Drinfeld modules , where L is a quasitriangular weak Hopf algebra with a bijective antipode. We also show that H* has a right H-Hopf module structure in the Yetter-Drinfeld category. As an application we deduce the existence and uniqueness of right integral from it.

Weak Hopf Algebra, Hopf Module, Fundamental Theorem

Yin, Y. (2016) Hopf Modules in the Category of Yetter-Drinfeld Modules. Applied Mathematics, 7, 629-637. doi: 10.4236/am.2016.77058.