弱Hopf 代数的扭曲理论
약Hopf 대수적뉴곡이론
DUAL TO TWISTING THEORY FOR WEAK HOPF ALGEBRAS
  • 万方数据
    数学杂志 수학잡지
    JOURNAL OF MATHEMATICS
    2008年 6期 596-602 ,共7页

    陈菊珍%宋新霞

    진국진%송신하

    弱 Hopf 代数%弱 Hopf 双模%扭曲理论 弱 Hopf 代數%弱 Hopf 雙模%扭麯理論
    약 Hopf 대수%약 Hopf 쌍모%뉴곡이론
    weak Hopf algebra%weak Hopf bimodule%twisting theory
    本文研究了弱Hopf代数的扭曲理论的对偶问题.利用了弱Hopf代数上的弱Hopf双模的(辫子)张量范畴与扭曲弱Hopf代数上的弱Hopf双模的(辫子)张量范畴等价方法,得到Long模范畴是Yetter-Drinfel'd模范畴的辫子张量子范畴.推广了Oeckl(2000)的结果.
    본문연구료약Hopf대수적뉴곡이론적대우문제.이용료약Hopf대수상적약Hopf쌍모적(변자)장량범주여뉴곡약Hopf대수상적약Hopf쌍모적(변자)장량범주등개방법,득도Long모범주시Yetter-Drinfel'd모범주적변자장양자범주.추엄료Oeckl(2000)적결과.
    In this paper we study the dual case of the twisting theory of weak Hopf algebras. Using the equivalent between the (braided) monoidal categories of weak Hopf bimodules over the original and the twisted weak Hopf algebras, we get the Long module category is a braided tensor subcategory of a Yetter-Drinfel'd module category, and then generalize the result of Oeckl (2000).
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