| 弱Hopf代数上的扭积 |
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| 引用本文： | 侯波,王志玺.弱Hopf代数上的扭积[J].数学年刊A辑(中文版),2006(6). |
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| 作者姓名： | 侯波 王志玺 |
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| 作者单位： | 河北师范大学数学与信息科学学院，首都师范大学数学系 石家庄 050016，北京 100037 |
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| 基金项目： | 国家自然科学基金(No．10271081)
北京市自然科学基金(No．1042004)
河北省自然科学基金(No．102132)资助的项目． |
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| 摘 要： | 在弱Hopf代数上,定义了交叉积概念,并且得到了它的两种特殊形式,冲积和扭积．特别地,给出了扭积为弱Hopf代数的一个充要条件,推广了Hopf代数的相应结论．
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| 关 键 词： | 弱Hopf代数 交叉积 扭积 |
Twisted Products over Weak Hopf Algebras |
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| HOU Bo WANG Zhixi College of Mathematics and Information Science,Hebei Teacher's University,Shijiazhuang ,China.Twisted Products over Weak Hopf Algebras[J].Chinese Annals of Mathematics,2006(6). |
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| Authors: | HOU Bo WANG Zhixi College of Mathematics and Information Science Hebei Teacher's University Shijiazhuang China |
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| Institution: | HOU Bo WANG Zhixi College of Mathematics and Information Science,Hebei Teacher's University,Shijiazhuang 050016,China. Department of Mathematics,Capital Normal University,Beijing 100037,China. |
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| Abstract: | In this paper, the notion of crossed products over weak Hopf algebras is defined and the smash products and the twisted products are their special cases. Moreover, a sufficient and necessary condition for a twisted product to be a weak Hopf algebra is given. It generalizes the corresponding results for Hopf algebras. |
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| Keywords: | Weak Hopf algebra Crossed product Twisted product |
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