The quantum Knizhnik-Zamolodchikov equation and non-symmetric Macdonald polynomials
The quantum Knizhnik-Zamolodchikov equation and non-symmetric Macdonald polynomials
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DOI：
10.1619/fesi.50.491
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发表时间：
2006-08
期刊：
影响因子：
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通讯作者：
M. Kasatani;Y. Takeyama
中科院分区：
文献类型：
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作者：
M. Kasatani;Y. Takeyama
本文在A_{N-1}型量子代数的向量表示的张量积上构造了量子Knizhnik-Zamolodchikov方程的特解。它们是通过仿射Hecke代数的作用从非对称Macdonald多项式构造的。作为特殊情况，再生了第一层顶点算子的矩阵元。
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.