东南大学学报（英文版）2008，Vol.24Issue(2)：250-252,3.
构造entwined模范畴成为辫子张量范畴
Making the category of entwined modules into a braided monoidal category
摘要
Abstract
The question of how the category of entwined modulescan be made into a braided monoidal category is studied. First,the sufficient and necessary conditions making the category into amonoidal category are obtained by using the fact that if (A, C, ψ)is an entwining structure, then A C can be made into anentwined module. The conditions are that the algebra andcoalgebra in question are both bialgebras with some extracompatibility relations. Then given a monodial category ofentwined modules, the braiding is constructed by means of atwisted convolution invertible map Q, and the conditions makingthe category form into a braided monoidal category are obtainedsimilarly. Finally, the construction is applied to the category ofDoi-Hopf modules and (α,β)-Yetter-Drinfeld modules asexamples.关键词
Doi-Hopf模/entwined模/辫子张量范畴Key words
Doi-Hopf module/ entwined module/ braidedmonoidal category分类
数理科学引用本文复制引用
刘玲,王栓宏..构造entwined模范畴成为辫子张量范畴[J].东南大学学报（英文版）,2008,24(2):250-252,3.基金项目
Specialized Research Fund for the Doctoral Program of Higher Education(No. 20060286006), the National Natural Science Foundation of China(No. 10571026). （No. 20060286006）
