| Hopf代数的双交叉积 |
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| 引用本文： | 刘贵龙. Hopf代数的双交叉积[J]. 数学学报, 1996, 39(1): 108-117. DOI: cnki:ISSN:0583-1431.0.1996-01-015 |
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| 作者姓名： | 刘贵龙 |
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| 作者单位： | 中国地质大学数学教研室!北京100083 |
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| 基金项目： | 国家自然科学基金资助项目． |
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| 摘 要： | 本文定义并详细讨论了交叉余积，考虑交叉积与交叉余积合起未成为双代数的问题，讨论了由内作用，内余作用构造的双交叉积．我们还用正合序列刻划了双交叉积．
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| 关 键 词： | 交叉余积 Hopf代数的正合列 双交叉积 |
| 收稿时间： | 1993-06-05 |
| 修稿时间： | 1994-11-28 |
The Bicrossed Products of Hopf Algebras |
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| Liu Guilong. The Bicrossed Products of Hopf Algebras[J]. Acta Mathematica Sinica, 1996, 39(1): 108-117. DOI: cnki:ISSN:0583-1431.0.1996-01-015 |
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| Authors: | Liu Guilong |
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| Affiliation: | Liu Guilong (Department of Mathematics,China University of Geosciences, Beijing 100O83, China) |
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| Abstract: | The purpose of this paper is to begin to lay the foundation of bicrossed products of Hopf algebra. The theory is motivated by asking that crossed product and crossed coproduct fit together to form a bialgebra. It is the further generalization of bismash product of Hopf algebra. We investigate the basic properties of these notions and give the exact sequence characterization of bicrossed product. We will see that any bicrossed product H with weakly inner action and inner coaction is isomorphic to a bicrossed product H A with trivial action ' and trivial coactionβ'. |
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| Keywords: | crossed coproduct exact sequence of Hopf algebra bicrossed product |
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