数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (2): 701-715.doi: 10.1016/S0252-9602(11)60270-1

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ON THE BRAIDED STRUCTURES OF RADFORD'S BIPRODUCT

马天水*|李海英|赵文正   

  1. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
  • 收稿日期:2008-02-18 修回日期:2009-08-24 出版日期:2011-03-20 发布日期:2011-03-20
  • 通讯作者: 马天水 E-mail:matianshui@yahoo.com
  • 基金资助:

    Supported by the NNSF of China (10871042), the NSF of Jiangsu Province (BK2009258), NSF of Henan Province (102300410049, 2010A110009), and the Foster Foundation of Henan Normal University (2010PL01)

ON THE BRAIDED STRUCTURES OF RADFORD'S BIPRODUCT

 MA Tian-Shui*, LI Hai-Ying, ZHAO Wen-Zheng   

  1. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
  • Received:2008-02-18 Revised:2009-08-24 Online:2011-03-20 Published:2011-03-20
  • Contact: MA Tian-Shui E-mail:matianshui@yahoo.com
  • Supported by:

    Supported by the NNSF of China (10871042), the NSF of Jiangsu Province (BK2009258), NSF of Henan Province (102300410049, 2010A110009), and the Foster Foundation of Henan Normal University (2010PL01)

摘要:

We obtain the necessary and sufficient conditions for Radford's biproduct to be a braided Hopf algebra. As an application, a nontrivial example is given.

关键词: Yang-Baxter equation,  Radford´s biproduct,  Sweedler Hopf algebra

Abstract:

We obtain the necessary and sufficient conditions for Radford's biproduct to be a braided Hopf algebra. As an application, a nontrivial example is given.

Key words: Yang-Baxter equation,  Radford´s biproduct,  Sweedler Hopf algebra

中图分类号: 

  • 16W30