Laurent polynomial solutions of the boundary quantum Knizhnik--Zamolodchikov equation

作者: Keiichi Shigechi

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摘要: We construct Laurent polynomial solutions of the boundary quantum Knizhnik--Zamolodchikov equation for $U_{q}(\widehat{\mathfrak{sl}}_{2})$ on parabolic Kazhdan--Lusztig bases. They are characterized by non-symmetric Koornwinder polynomials with specialized parameters. As a special case, we obtain solution minimal degree.

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