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Difference Equations Compatible with Trigonometric KZ Differential Equations

V. Tarasov·A. Varchenko
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Abstract

The trigonometric KZ equations associated with a Lie algebra $\g$ depend on a parameter $λ\in\h$ where $\h\subset\g$ is the Cartan subalgebra. We suggest a system of dynamical difference equations with respect to $λ$ compatible with the KZ equations. The dynamical equations are constructed in terms of intertwining operators of $\g$-modules.

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V. Tarasov, A. Varchenko. 2000-04-24. Difference Equations Compatible with Trigonometric KZ Differential Equations. https://arxiv.org/abs/math/0002132

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