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[1] Liu Guohua, Zhou Xuan, Wang Shuanhong,. Constructing generalized Drinfel’d quantum double [J]. Journal of Southeast University (English Edition), 2012, 28 (1): 125-129. [doi:10.3969/j.issn.1003-7985.2012.01.021]
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Constructing generalized Drinfel’d quantum double()
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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
28
Issue:
2012 1
Page:
125-129
Research Field:
Mathematics, Physics, Mechanics
Publishing date:
2012-03-30

Info

Title:
Constructing generalized Drinfel’d quantum double
Author(s):
Liu Guohua1;  Zhou Xuan2;  Wang Shuanhong1
1Department of Mathematics, Southeast University, Nanjing 211189, China
2School of Mathematics and Information Technology, Jiangsu Institute of Education, Nanjing 210013, China
Keywords:
twisted crossed product;  coquasitriangular Hopf algebra;  generalized Drinfel’d quantum double
PACS:
O153.3
DOI:
10.3969/j.issn.1003-7985.2012.01.021
Abstract:
Let H be a Hopf algebra and B an algebra with two linear maps σ, τ:H⊗H→B. The necessary and sufficient conditions for the twisted crossed product B#ττσσH equipped with the tensor product coalgebra structure to be a bialgebra are proved. Then, B#ττσσH is a coquasitriangular Hopf algebra under certain conditions. This coquasitriangular Hopf algerbra generalizes some known cross products. Finally, as an application, an explicit example is given.

References:

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Memo

Memo:
Biography: Liu Guohua(1978—), female, doctor, lecturer, liuguohua@seu.edu.cn.
Citation: Liu Guohua, Zhou Xuan, Wang Shuanhong.Constructing generalized Drinfel’d quantum double.[J].Journal of Southeast University(English Edition), 2012, 28(1):125-129.[doi:10.3969/j.issn.1003-7985.2012.01.021]
Last Update: 2012-03-20