Smash coproduct and braided groups in braided monoidal category

被引：0
|
作者：
李金其
许永华
机构：
[1] China
[2] Institute of Mathematics
[3] Fudan University
[4] Shanghai 200433
来源：
Science China Mathematics | 1997年 / 11期
关键词：
braided monoidal category; braided Hopf algebra; braided group;
D O I：
暂无
中图分类号：
O152 [群论];
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×H in HM is equivalent to the transmutation of Hopf algebra.Thus a method for transmutation theory is provided.Let a be 2-co-cycle and H a commutation Hopf algebra.A Hopf algebra Hσ is constructed.Hσ≌Hσ where Hσ is a transmutation of Hσ.The braided groups from some solutions of quantum Yang-Baxter equation are obtained.
引用
收藏
页码：1121 / 1128
页数：8
相关论文
共 50 条
  • [1] Smash coproduct and braided groups in braided monoidal category
    Jinqi Li
    Yonghua Xu
    [J]. Science in China Series A: Mathematics, 1997, 40 : 1121 - 1128
  • [2] Smash coproduct and braided groups in braided monoidal category
    Li, JQ
    Xu, YH
    [J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1997, 40 (11): : 1121 - 1128
  • [3] ON THE BRAIDED MONOIDAL CATEGORY OF W-SMASH COPRODUCT COMODULE
    Dong, Lihong
    Jiao, Zhengming
    [J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2010, 3 (02) : 295 - 305
  • [4] The braided structures for ω-smash coproduct Hopf algebras
    Jiao, ZM
    Wisbauer, R
    [J]. JOURNAL OF ALGEBRA, 2005, 287 (02) : 474 - 495
  • [5] TWISTED SMASH COPRODUCTS IN BRAIDED MONOIDAL CATEGORIES
    Zhao, Wenzheng
    Gao, Shengjie
    Ma, Tianshui
    [J]. INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, 2010, 7 : 12 - 33
  • [6] The Brauer group of a braided monoidal category
    Van Oystaeyen, F
    Zhang, YH
    [J]. JOURNAL OF ALGEBRA, 1998, 202 (01) : 96 - 128
  • [7] The Braided Monoidal Structure on the Category of Comodules of Bimonads
    Shen, Bingliang
    Zou, Xiaoguang
    [J]. ALGEBRA COLLOQUIUM, 2019, 26 (04) : 565 - 578
  • [8] A braided monoidal category for free super-bosons
    Runkel, Ingo
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2014, 55 (04)
  • [9] Making the Category of Doi-Hopf Modules into a Braided Monoidal Category
    Caenepeel S.
    Van Oystaeyen F.
    Zhou B.
    [J]. Algebras and Representation, 1998, 1 (1) : 75 - 96
  • [10] A class of braided monoidal categories via quasitriangular Hopf π-crossed coproduct algebras
    Ma, Tianshui
    Liu, Linlin
    Li, Haiying
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2015, 14 (02)
12345