Geodesic
The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials
Symmetry, integrability and geometry: methods and applications, Tome 5 (2009) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: qKZ equation; shifted Jack polynomial; degenerate double affine Hecke algebra. 
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Saburo Kakei; Michitomo Nishizawa; Yoshihisa Saito; Yoshihiro Takeyama. The Rational qKZ Equation and Shifted Non-Symmetric Jack Polynomials. Symmetry, integrability and geometry: methods and applications, Tome 5 (2009). http://geodesic.mathdoc.fr/item/SIGMA_2009_5_a9/

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