%0 Journal Article
%T The quantum Knizhnik-Zamolodchikov equation and non-symmetric Macdonald polynomials
%A M. Kasatani
%A Y. Takeyama
%J Mathematics
%D 2006
%I arXiv
%X 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. As a special case the matrix element of the vertex operators of level one is reproduced.
%U http://arxiv.org/abs/math/0608773v2