TITLE:
Hopf Modules in the Category of Yetter-Drinfeld Modules
AUTHORS:
Yanmin Yin
KEYWORDS:
Weak Hopf Algebra, Hopf Module, Fundamental Theorem
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.7,
April
27,
2016
ABSTRACT: 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.