| 群交叉积构造的一类新的Hopf群余代数 |
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| 引用本文： | 沈炳良,刘玲. 群交叉积构造的一类新的Hopf群余代数[J]. 浙江师范大学学报(自然科学版), 2012, 0(4): 368-374 |
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| 作者姓名： | 沈炳良 刘玲 |
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| 作者单位： | 上海财经大学浙江学院公共基础教育部;浙江师范大学数理与信息工程学院 |
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| 基金项目： | 浙江省教育厅科研项目(Y201121955) |
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| 摘 要： | 探讨了群交叉积C#σπH和群Smash余积C×πH构成半Hopf群余代数乃至Hopf群余代数的条件，这是著名的Radford双积在Hopf群余代数系统中的实现．
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| 关 键 词： | （半）Hopf群余代数 群交叉积 群Smash余积 Radford双积 |
On constructing new Hopf group coalgebras by group crossed products |
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| SHEN Bingliang,LIU Ling. On constructing new Hopf group coalgebras by group crossed products[J]. Journal of Zhejiang Normal University Natural Sciences, 2012, 0(4): 368-374 |
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| Authors: | SHEN Bingliang LIU Ling |
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| Affiliation: | 1.Department of Basic Education,Shanghai University of Finance Economics Zhejiang College,Jinhua Zhejiang 321013,China;2.College of Mathematics,Physics and Information Engineering,Zhejiang Normal University,Jinhua Zhejiang 321004,China) |
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| Abstract: | The group crossed product C#σπH and the group Smash coproduct C×πH form a semi-Hopf group coalgebra and even a Hopf group coalgebra was discussed. It was famous Radford biproduct construction in the setting of Hopf group coalgebras. |
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| Keywords: | （Semi） -Hopf group coalgebra group crossed product group Smash coproduct Radford biprod- uct |
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