Affine Analogue of Jack's Polynomials for \hat{sl}_2
| dc.creator | Hara, Yuji | |
| dc.date | 2002-10-16 | |
| dc.date | 2003-12-24 | |
| dc.date.accessioned | 2026-07-07T04:51:59Z | |
| dc.date.available | 2026-07-07T04:51:59Z | |
| dc.description | Affine analogue of Jack's polynomials introduced by Etingof and Kirillov Jr. is studied for the case of \hat{sl}_2. Using the Wakimoto representation, we give an integral formula of elliptic Selberg type for the affine Jack's polynomials. From this integral formula, the action of SL_2(Z) on the space of the affine Jack's polynomials is computed. For simple cases, we write down the affine Jack's polynomials in terms of some modular and elliptic functions. | |
| dc.description | 29 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/math/0210236 | |
| dc.identifier | http://arxiv.org/abs/math/0210236 | |
| dc.identifier | Adv. Theor. Math. Phys. 7 (2003) 87-120 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65307 | |
| dc.subject | Quantum Algebra | |
| dc.title | Affine Analogue of Jack's Polynomials for \hat{sl}_2 | |
| dc.type | text |