Lectures on Knizhnik-Zamolodchikov equations and Hecke algebras
Lectures on Knizhnik-Zamolodchikov equations and Hecke algebras
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Knizhnik-Zamolodchikov 方程和 Hecke 代数讲座
DOI：
10.2969/msjmemoirs/00101c010
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发表时间：
1998
影响因子：
2.5
通讯作者：
I. Cherednik
中科院分区：
文献类型：
--
作者：
I. Cherednik
本文是第一作者1996-97年在京都的演讲过程，由其他人记录。我们努力按照讲义去做，不想再举更多的例子和名字。重点是Knizhnik-Zamolodchikov方程和卡茨-穆迪代数的关系，一个新的理论的基础上仿射和双仿射Hecke代数的球面和超几何函数。在这里，数学和物理比连体双胞胎更接近。我们没有试图将它们分开，但这门课主要是关于数学问题的。然而，我们希望，该文件将是可以理解的物理学家和数学家，对于那些谁想要掌握新的Hecke代数技术。内容
This paper is the course of lectures delivered by the first author in Kyoto in 1996-97 and recorded by the others. We tried to follow closely the notes of the lectures not yielding to the temptation of giving more examples and names. The focus is on the relations of the Knizhnik-Zamolodchikov equations and Kac-Moody algebras to a new theory of spherical and hypergeometric functions based on affine and double affine Hecke algebras. Here mathematics and physics are closer than Siamese twins. We did not try to separate them, but the course turned out to be mainly about the mathematical issues. However we hope that the paper will be understandable for both physicists and mathematicians, for those who want to master the new Hecke algebra technique. CONTENTS