本文選題：Doi-Hopf模 + Turaev��； 參考：《吉林大學(xué)學(xué)報(理學(xué)版)》2017年04期

【摘要】：設(shè)G是一個群.利用Turaev辮子群范疇的性質(zhì),在Doi-Hopf數(shù)據(jù)(H,A,C)上構(gòu)造一個Turaev辮子G-范疇,其中H,A,C是Hopf代數(shù).進(jìn)一步,當(dāng)C為有限維時,在一簇Smash積代數(shù){A#~HC~*(α)}_(α∈G)上構(gòu)造一個擬三角Turaev G-余代數(shù)A#~HC~*,其表示范疇與_AM~C(H)是同構(gòu)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 * (偽)} _ (偽 鈭，

本文編號：2112177