Turaev辫子群范畴和Doi-Hopf模

发布时间：2018-07-10 05:10

  本文选题：Doi-Hopf模 + Turaev　； 参考：《吉林大学学报(理学版)》2017年04期

【摘要】：设G是一个群.利用Turaev辫子群范畴的性质,在Doi-Hopf数据(H,A,C)上构造一个Turaev辫子G-范畴,其中H,A,C是Hopf代数.进一步,当C为有限维时,在一簇Smash积代数{A#~HC~*(α)}_(α∈G)上构造一个拟三角Turaev G-余代数A#~HC~*,其表示范畴与_AM~C(H)是同构的.
[Abstract]:Let G be a group. By using the properties of the category of Turaev braided group, a Turaev braided G- category is constructed on Doi-Hopf data (HPU C), where HG- category is a Hopf algebra. Furthermore, when C is finite-dimensional, a quasi-triangular Turaev G- coalgebra A#aev G- coalgebra A#aev (H) is constructed on a cluster of Smash product algebras {A#aev * (伪)} _ (伪 鈭，

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