The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2009
• Main Authors: Kakei, S., Nishizawa, M., Saito, Y., Takeyama, Y.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149247
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials / S. Kakei, M. Nishizawa, Y. Saito, Y. Takeyama // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 16 назв. — англ.

We construct special solutions to the rational quantum Knizhnik-Zamolodchikov equation associated with the Lie algebra glN. 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 p...