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arxiv: math/0002132 · v3 · submitted 2000-02-16 · 🧮 math.QA

Difference Equations Compatible with Trigonometric KZ Differential Equations

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

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