Smash coproduct and braided groups in braided monoidal category

被引：1

作者：

Li, JQ ^{[1
]}

Xu, YH ^{[1
]}

机构：

[1] FUDAN UNIV,INST MATH,SHANGHAI 200433,PEOPLES R CHINA

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY | 1997年 / 40卷 / 11期

关键词：

braided monoidal category; braided Hopf algebra; braided group;

D O I：

10.1007/BF02931830

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A smash coproduct in braided monoidal category C is constructed and some conditions making the smash coproduct a Hopf algebra or braided Hopf algebra are given. It is shown that the smash coproduct B x H in M-H is equivalent to the transmutation of Hopf algebra. Thus a method for transmutation theory is provided. Let sigma be 2-co-cycle and H a commutation Hopf algebra. A Hopf algebra H-sigma is constructed. H(sigma)congruent to H-sigma where H-sigma is a transmutation of H-sigma. The braided groups from some solutions of quantum Yang-Baxter equation are obtained.

引用

页码：1121 / 1128

页数：8

共 6 条

[1]

DOI Y, 1993, COMMUN ALGEBRA, V21, P1731, DOI 10.1080/00927879308824649

[2] TRANSMUTATION THEORY AND RANK FOR QUANTUM BRAIDED GROUPS [J].