Differential equations compatible with boundary rational qKZ equation
arXiv:0908.2288
Abstract
We give differential equations compatible with the rational qKZ equation with boundary reflection. The total system contains the trigonometric degeneration of the bispectral qKZ equation of type (C_{n}^{\vee}, C_{n}) which in the case of type GL_{n} was studied by van Meer and Stokman. We construct an integral formula for solutions to our compatible system in a special case.
25 pages, no figure; Section 4.2, 4.4 and 4.6 are revised.