| 广义路代数与点Hopf代数 |
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| 引用本文： | 张寿传,张耀中,郭夕敬.广义路代数与点Hopf代数[J].数学研究及应用,2009,29(3):395-406. |
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| 作者姓名： | 张寿传 张耀中 郭夕敬 |
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| 作者单位： | 湖南大学数学与计量经济学院, 湖南 长沙 410082; 昆士兰大学数学系, 布里斯班 澳大利亚, 4072; 南开大学组合数学中心, 天津 300071;昆士兰大学数学系, 布里斯班 澳大利亚，4072;吉林大学珠海学院数学教研室, 广东 珠海 519041 |
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| 基金项目： | Acknowledgement The work is supported by Australian Research Council. S. Zhang thanks the Department of Mathematics, University of Queensland for hospitality. |
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| 摘 要： | Most of pointed Hopf algebras of dimension p^m with large coradtical are shown to be generalized path algebras. By the theory of generalized path algebras, the representations, homological dimensions and radicals of these Hopf algebras are obtained. The relations between the radicals of path algebras and connectivity of directed graphs are given.
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| 关 键 词： | Hopf代数 路径代数 同调维数 自由基 有向图 代数和 广义 |
| 收稿时间： | 2007/1/21 0:00:00 |
| 修稿时间： | 2008/7/13 0:00:00 |
Generalized Path Algebras and Pointed Hopf Algebras |
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| ZHANG Shou Chuan,ZHANG Yao Zhong and GUO Xi Jing.Generalized Path Algebras and Pointed Hopf Algebras[J].Journal of Mathematical Research with Applications,2009,29(3):395-406. |
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| Authors: | ZHANG Shou Chuan ZHANG Yao Zhong and GUO Xi Jing |
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| Institution: | Department of Mathematics, Hunan University, Hunan 410082, China; Department of Mathematics, University of Queensland, Brisbane 4072, Australia; The Center of Combinatorial Mathematics, Nankai University, Tianjin 300071, China;Department of Mathematics, University of Queensland, Brisbane 4072, Australia;Department of Mathematics, Zhuhai College of Jilin University, Guangdong 519041, China |
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| Abstract: | Most of pointed Hopf algebras of dimension $p^m$ with large coradical are shown to be generalized path algebras. By the theory of generalized path algebras, the representations, homological dimensions and radicals of these Hopf algebras are obtained. The relations between the radicals of path algebras and connectivity of directed graphs are given. |
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| Keywords: | generalized path algebra Hopf algebra radical |
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