Difference Equations Compatible with Trigonometric KZ Differential Equations

Mathematics – Quantum Algebra

Scientific paper

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23 pages, AmsTeX, third version, some misprints were corrected

Scientific paper

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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