弱Hopf代数的扭曲理论(英文)  

DUAL TO TWISTING THEORY FOR WEAK HOPF ALGEBRAS

作　　者：陈菊珍[1] 宋新霞[2] 

机构地区：[1]东南大学数学系,江苏南京210096 [2]浙江万里学院基础学院,浙江宁波315101

出　　处：《数学杂志》2008年第6期596-602,共7页Journal of Mathematics

基　　金：the Specialized Research Fund for the Doctoral Program of Higher Education(20060286006);the FNS of China(10571026);the SoutheastUniversity Fund(XJ0707273)

摘　　要：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.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）.

关 键 词：弱HOPF代数 弱Hopf双模 扭曲理论 

分 类 号：O153.3[理学—数学]