The Quantum Knizhnik-Zamolodchikov Equation and Non-symmetric Macdonald Polynomials

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We construct special solutions of the quantum Knizhnik-Zamolodchikov equation on the tensor product of the vector representation of the quantum algebra of type AN−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.

Journal

  • Funkcialaj Ekvacioj

    Funkcialaj Ekvacioj 50 (3), 491-509, 2007

    Division of Functional Equations, The Mathematical Society of Japan

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