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arxiv: 0908.2288 · v2 · submitted 2009-08-17 · 🧮 math.QA · math-ph· math.MP

Differential equations compatible with boundary rational qKZ equation

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keywords compatibleequationboundarycasedifferentialequationsrationalsystem
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We give differential equations compatible with the rational qKZ equation with boundary reflection. The total system contains the trigonometric degeneration of the bispectral qKZ equation of type (C_{n}^{\vee}, C_{n}) which in the case of type GL_{n} was studied by van Meer and Stokman. We construct an integral formula for solutions to our compatible system in a special case.

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