Quantum Groups
Quantum Groups
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DOI：
10.1007/978-1-4612-0783-2
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发表时间：
1994-11
期刊：
影响因子：
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通讯作者：
Christian Kassel
中科院分区：
文献类型：
--
作者：
Christian Kassel
这里是对量子群理论的介绍，重点是与纽结理论的壮观联系以及德因费尔德最近的基本贡献。介绍了SL2上的量子群以及Hopf代数理论的基本概念。文章还重点介绍了产生杨-巴克斯特方程解的Hopf代数，并介绍了Drinfeld对Knizhnik-Zamolodchikov方程单解的巧妙处理。
Here is an introduction to the theory of quantum groups with emphasis on the spectacular connections with knot theory and Drinfeld's recent fundamental contributions. It presents the quantum groups attached to SL2 as well as the basic concepts of the theory of Hopf algebras. Coverage also focuses on Hopf algebras that produce solutions of the Yang-Baxter equation and provides an account of Drinfeld's elegant treatment of the monodromy of the Knizhnik-Zamolodchikov equations.