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A ribbon Hopf algebra is a quasitriangular Hopf algebra which possess an invertible central element more commonly known as the ribbon element, such that the following conditions hold: : : where . Note that the element ''u'' exists for any quasitriangular Hopf algebra, and must always be central and satisfies (\mathcal_\mathcal_)^(uS(u) \otimes uS(u)), so that all that is required is that it have a central square root with the above properties. Here : is a vector space : is the multiplication map : is the co-product map : is the unit operator : is the co-unit operator : is the antipode : is a universal R matrix We assume that the underlying field is == See also == *Quasitriangular Hopf algebra *Quasi-triangular quasi-Hopf algebra 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「Ribbon Hopf algebra」の詳細全文を読む スポンサード リンク
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