%0 Journal Article
%T Laurent polynomial solutions of the boundary quantum Knizhnik--Zamolodchikov equation
%A Keiichi Shigechi
%J Mathematics
%D 2014
%I arXiv
%X We construct Laurent polynomial solutions of the boundary quantum Knizhnik--Zamolodchikov equation for $U_{q}(\widehat{\mathfrak{sl}}_{2})$ on the parabolic Kazhdan--Lusztig bases. They are characterized by non-symmetric Koornwinder polynomials with the specialized parameters. As a special case, we obtain the solution of the minimal degree.
%U http://arxiv.org/abs/1412.7797v1