MR2381328
Masahiro KASATANI and Yoshihiro TAKEYAMA
Masahiro KASATANI and Yoshihiro TAKEYAMA
The Quantum Knizhnik-Zamolodchikov Equation and Non-symmetric Macdonald Polynomials
Funkcialaj Ekvacioj. Serio Internacia
50
2007
491--509
http://fe.math.kobe-u.ac.jp/FE/FullPapers/50-3/50_491.pdf
http://www.ams.org/mathscinet-getitem?mr=MR2381328
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.
qKZ equation, Affine Hecke algebra, Non-symmetric Macdonald polynomial.
39A13, 33C52, 81R50.
50-491
2007
The Quantum Knizhnik-Zamolodchikov Equation and Non-symmetric Macdonald Polynomials
Masahiro KASATANI and Yoshihiro TAKEYAMA
Masahiro KASATANI and Yoshihiro TAKEYAMA
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