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The quantum Knizhnik-Zamolodchikov equation and non-symmetric Macdonald polynomials

M. Kasatani·Y. Takeyama
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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. As a special case the matrix element of the vertex operators of level one is reproduced.

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BibTeXRIS

M. Kasatani, Y. Takeyama. 2007-04-06. The quantum Knizhnik-Zamolodchikov equation and non-symmetric Macdonald polynomials. https://arxiv.org/abs/math/0608773

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