Dynamical differential equations compatible with rational qKZ equations
arXiv:math/0403416 · doi:10.1007/s11005-004-6363-z
Abstract
For the Lie algebra $gl_N$ we introduce a system of differential operators called the dynamical operators. We prove that the dynamical differential operators commute with the $gl_N$ rational quantized Knizhnik-Zamolodchikov difference operators. We describe the transformations of the dynamical operators under the natural action of the $gl_N$ Weyl group.
7 pages, AmsLaTeX