| Twist积和Twist余积Hopf代数 |
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| 引用本文： | 刘国华. Twist积和Twist余积Hopf代数[J]. 数学年刊A辑(中文版), 2007, 0(6) |
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| 作者姓名： | 刘国华 |
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| 作者单位： | 东南大学数学系 南京 |
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| 摘 要： | 设H,A是两个Hopf代数,构造了twist积A#_σH和twist余积A#~(?)H,证明了文[1]中的double twist和S.Majid构造的Bicrossproduct结构以及通常的smash积都是A#_σH的一种特殊情况;文[2,3]中的twist Hopf代数以及通常的smash余积是A#~(?)H的特殊情况,最后讨论了A#~(?)H上的拟三角结构.
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| 关 键 词： | Hopf代数 twist 余循环 拟三角结构 |
Twist Product and Twist Coproduct of Hopf Algebras |
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| LIU Guohua Institute of Mathematics,Southeast University,Nanjing ,China.. Twist Product and Twist Coproduct of Hopf Algebras[J]. Chinese Annals of Mathematics, 2007, 0(6) |
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| Authors: | LIU Guohua Institute of Mathematics Southeast University Nanjing China. |
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| Affiliation: | LIU Guohua~* ~*Institute of Mathematics,Southeast University,Nanjing 210096,China. |
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| Abstract: | This paper constructs a twist product and a twist coproduct,and proofs the double twist in[1].The Bicrossproduct structure introduced by Majid S.and the usual smash product are special cases of the twist product Hopf algebra.The twist Hopf algebra in[2,3]and the smash coproduct are special cases of the twist coproduct Hopf algebra. Furthermore,the conditions for the quasitriangularity of the twist coproduct Hopf algebra is given. |
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| Keywords: | Hopf algebra Twist Cocycle Quasitriangular structure |
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