| 对偶双代数和辫化双代数 |
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| 引用本文： | 赵青虎,张良云.对偶双代数和辫化双代数[J].东南大学学报,2003,19(2). |
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| 作者姓名： | 赵青虎 张良云 |
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| 作者单位： | 南京气象学院数学系 南京210044
(赵青虎)，南京农业大学数学系 南京210095(张良云) |
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| 摘 要： | 通过建立扭曲积和交叉积之间的代数同构 ,首先得到了扭曲积的半单性质 .指出了对偶双代数、Yang Baxter余代数和辫化双代数之间的关系 ,并且以四维SweedlerHopf代数为例来说明 .最后由Yang Baxter余代数出发 ,构造二次双代数使之成为辫化双代数 .
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| 关 键 词： | 辫化双代数 对偶双代数 扭曲积 二次双代数 |
Paired bialgebras and braided bialgebras |
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| Zhao Qinghu,Zhang Liangyun.Paired bialgebras and braided bialgebras[J].Journal of Southeast University(English Edition),2003,19(2). |
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| Authors: | Zhao Qinghu Zhang Liangyun |
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| Abstract: | First, we present semisimple properties of twisted products by means of constructing an algebra isomorphism between twisted products and crossed products, and point out that there exist some relations among braided bialgebras, paired bialgebras and Yang-Baxter coalgebras. Furthermore, we give an example to illustrate these relations by using Sweedler's 4-dimensional Hopf algebra. Finally, from starting off with Yang-Baxter coalgebras, we can construct some quadratic bialgebras such that they are braided bialgebras. |
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| Keywords: | braided bialgebras paired bialgebras twisted products quadratic bialgebras |
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