Cocycle deformations, braided monoidal categories and quasitriangularity

被引：5

作者：

Chen, HX ^{[1
]}

机构：

[1] Yangzhou Univ, Dept Math, Yangzhou 225002, Peoples R China

[2] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China

来源：

CHINESE SCIENCE BULLETIN | 1999年 / 44卷 / 06期

关键词：

strong cocycle; Yang-Baxter operator; braided monoidal category; quasitriangular bialgebra;

D O I：

10.1007/BF02885536

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Let A be a bialgebra, R is an element of A X A be a strong "cocycle". It will be shown that the monoidal category A(M) has a braided monoidal subcategory and several equivalent conditions for (A, R) to be a quasitriangular bialgebra will be given. Furthermore, it will be shown that A contains a finite dimensional subbialgebra which is a quasitriangular Hopf algebra if R is a YB-operator.

引用

页码：510 / 513

页数：4

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