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VOL. 55 | 2009 The quantum Knizhnik–Zamolodchikov equation and non-symmetric Macdonald polynomials
Masahiro Kasatani, Yoshihiro Takeyama

Editor(s) Jean-Pierre Bourguignon, Motoko Kotani, Yoshiaki Maeda, Nobuyuki Tose

## 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