High Quality Content by WIKIPEDIA articles! High Quality Content by WIKIPEDIA articles! In mathematics a Yetter-Drinfel'd category is a special type of braided monoidal category. It consists of modules over a Hopf algebra which satisfy some additional axioms. Let H be a Hopf algebra over a field k. Let ? denote the coproduct and S the antipode of H. Let V be a vector space over k. A monoidal category mathcal{C} consisting of Yetter-Drinfel'd modules over a Hopf algebra H with bijective antipode is called a Yetter-Drinfel'd category. It is a braided monoidal category with the braiding c above. The category of Yetter-Drinfel'd modules over a Hopf algebra H with bijective antipode is denoted by {}^H_Hmathcal{YD}.

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