| Yetter-Drinfeld模范畴上的余代数与H-余交换 |
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| 引用本文： | 巫永萍.Yetter-Drinfeld模范畴上的余代数与H-余交换[J].龙岩学院学报,2005,23(6):4-6. |
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| 作者姓名： | 巫永萍 |
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| 作者单位： | 浙江师范大学数理学院,浙江,金华,321004 |
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| 摘 要： | 讨论了对于给定的一个余代数B，在什么条件下成为Yetter—Drinfeld模范畴上的余代数，并研究它与H-余交换之间的关系．证明了有大量的Yetter—Drinfeld模存在。事实上，所有的Smash余积都是Yetter—Drinfeld模范畴上的余代数。
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| 关 键 词： | H-模余代数 H-余模余代数 Yetter—Drinfeld模 H-余交换 Smash余积 |
| 文章编号： | 1673-4629(2005)06-0004-02 |
| 修稿时间： | 2005年7月8日 |
Coalgebras in the Yetter-Drinfeld Category and H-Cocommutativity |
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| WU Yong-ping.Coalgebras in the Yetter-Drinfeld Category and H-Cocommutativity[J].Journal of Longyan Univercity,2005,23(6):4-6. |
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| Authors: | WU Yong-ping |
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| Institution: | WU Yong-ping |
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| Abstract: | In this paper, we mainly discuss the condition under which a given coalgebra is a coalgebra in the Yetter-Drinfeld category and the relationship between the coalgebra and H-cocommutativity. We show that Yetter-Drinfeld modules are plentiful. In fact, all the Smash coproducts are the coalgebras in the Yetter-Drinfeld category. |
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| Keywords: | H-module coalgebras H-comodule coalgebras Yetter-Drinfeld modules H-cocommutativity Smash coproducts |
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