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In mathematics a Yetter–Drinfeld category is a special type of braided monoidal category. It consists of modules over a Hopf algebra which satisfy some additional axioms. == Definition == 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''. Then ''V'' is called a (left left) Yetter–Drinfeld module over ''H'' if * is a left ''H''-module, where denotes the left action of ''H'' on ''V'' and ⊗ denotes a tensor product, * is a left ''H''-comodule, where denotes the left coaction of ''H'' on ''V'', * the maps and satisfy the compatibility condition :: for all , :where, using Sweedler notation, denotes the twofold coproduct of , and . 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Yetter–Drinfeld category」の詳細全文を読む スポンサード リンク
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