TWISTED SMASH COPRODUCTS IN BRAIDED MONOIDAL CATEGORIES

Authors : Wenzheng Zhao, Shengjie Gao, Tianshui Ma

Pages : 12-33

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Publication Date : 2010-06-01

Article Type : Research Paper

Abstract :Let A ×r H be a twisted smash coproduct for a bicomodule coalgebra A by a Hopf algebra H in a braided monoidal category. The smash coproduct in a braided monoidal category is the special case of A ×r H. Moreover, we find a necessary and sufficient condition for A ×r H to be a bialgebra.
Keywords : braided monoidal categories, twisted smash coproducts, braided Hopf algebras, braided bicomodule coalgebras