R-matrix arising from affine Hecke algebras and its application to Macdonald's difference operators |
| |
| Authors: | Shin-ichi Kato |
| |
| Affiliation: | (1) Division of Mathematics, Department of Fundamental Sciences, Faculty of Integrated Human Studies, Kyoto University, 606-01 Kyoto, Japan |
| |
| Abstract: | ![]()
We shall give a certain trigonometric R-matrix associated with each root system by using affine Hecke algebras. From this R-matrix, we derive a quantum Knizhnik-Zamolodchikov equation after Cherednik, and show that the solutions of this KZ equation yield eigenfunctions of Macdonald's difference operators. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
