Hopf代数、Yang-Baxter方程与量子群
An Introduction to Hopf Algebras, Yang-Baxter Equation and Quantum Groups
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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/
- 数学/
- Yang-Baxter方程/
- 量子群
Abstract:It is well known that Hopf algebras, Yang-Baxter and quantum groups are three main research directions in modern mathematics and come fromthree different disciplines. In this paper, the development of Hopf algebras, the origin of Yang-Baxter 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.-
Key words:
- Hopf algebras/
- mathematics/
- Yang-Baxter equation/
- quantum groups
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