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Hopf Modules in the Category of Yetter-Drinfeld Modules
Department of Mathematics, Shandong Jianzhu University, Jinan, China
- 1 Department of Mathematics, Shandong Jianzhu University, Jinan, China
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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.
KeywordsWeak Hopf AlgebraHopf ModuleFundamental Theorem
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