The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials
| dc.creator | Kakei, Saburo | |
| dc.creator | Nishizawa, Michitomo | |
| dc.creator | Saito, Yoshihisa | |
| dc.creator | Takeyama, Yoshihiro | |
| dc.date | 2008-10-15 | |
| dc.date | 2009-01-27 | |
| dc.date.accessioned | 2026-07-07T12:34:17Z | |
| dc.date.available | 2026-07-07T12:34:17Z | |
| dc.description | We construct special solutions to the rational quantum Knizhnik-Zamolodchikov equation associated with the Lie algebra $gl_N$. The main ingredient is a special class of the shifted non-symmetric Jack polynomials. It may be regarded as a shifted version of the singular polynomials studied by Dunkl. We prove that our solutions contain those obtained as a scaling limit of matrix elements of the vertex operators of level one. | |
| dc.description | no figure, we gave a proof of the conjecture in the second version; we modified section 4.2 of the first version to correct an error in Proposition 4.4 and give more general result | |
| dc.identifier | https://arxiv.org/abs/0810.2581 | |
| dc.identifier | http://arxiv.org/abs/0810.2581 | |
| dc.identifier | SIGMA 5 (2009), 010, 12 pages | |
| dc.identifier | doi:10.3842/SIGMA.2009.010 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217376 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Representation Theory | |
| dc.subject | 39A13; 33C52; 81R50 | |
| dc.title | The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials | |
| dc.type | text |