| Hopf代数、Yang-Baxter方程与量子群 |
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| 引用本文： | 汪明义.Hopf代数、Yang-Baxter方程与量子群[J].西南交通大学学报,2000,35(4):425-429. |
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| 作者姓名： | 汪明义 |
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| 作者单位： | 西南交通大学应用数学系,四川,成都,610031 |
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| 基金项目： | 四川省科学技术委员会应用基础研究资助项目 |
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| 摘 要： | 介绍了Ｈｏｐｆ代数的发展情况，Ｙａｎｇ－Ｂａｘｔｅｒ方程的由来和量子群的盛行。Ｈｏｐｆ代数、Ｙａｎｇ－Ｂａｘｔｅｒ和量子群是数学中目前十分活跃的３个领域，这３个领域来源于不同学科，文中着重指出３者之间的深刻联系，其中也包含有自己的一些观点。
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| 关 键 词： | Hopf代数 量子群 Y－B方程 |
| 文章编号： | 0258-2724(2000)04-0425-05 |
An Introduction to Hopf Algebras, Yang-Baxter Equation and Quantum Groups |
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| WANG Ming-yi.An Introduction to Hopf Algebras, Yang-Baxter Equation and Quantum Groups[J].Journal of Southwest Jiaotong University,2000,35(4):425-429. |
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| Authors: | WANG Ming-yi |
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| Abstract: | It is well known that Hopf algebras, YangBaxter and quantum groups are three main research directions in modern mathematics and come from three different disciplines. In this paper, the development of Hopf algebras, the origin of YangBaxter and the prevailing of quantum groups are introduced. In addition, the close connections among them are presented, in which some points of view are due to the author of this paper. |
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| Keywords: | Hopf algebras mathematics Yang-Baxter equation quantum groups |
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