Abstract
We construct special solutions of the quantum Knizhnik–Zamolodchikov equation on the tensor product of the vector representation of the quantum algebra of type $A_{N-1}$. They are constructed from non-symmetric Macdonald polynomials through the action of the affine Hecke algebra.
Information
Published: 1 January 2009
First available in Project Euclid: 28 November 2018
zbMATH: 1180.39011
MathSciNet: MR2463501
Digital Object Identifier: 10.2969/aspm/05510249
Subjects:
Primary:
33C52
,
39A13
,
81R50
Keywords:
affine Hecke algebra
,
non-symmetric Macdonald polynomial
,
qKZ equation
Rights: Copyright © 2009 Mathematical Society of Japan
