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Dynamical differential equations compatible with rational qKZ equations

V. Tarasov·A. Varchenko
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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.

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V. Tarasov, A. Varchenko. 2004-04-04. Dynamical differential equations compatible with rational qKZ equations. https://doi.org/10.1007/s11005-004-6363-z

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