Differential equations compatible with boundary rational qKZ equation

Details Differential equations compatible with boundary rational qKZ equation Differential equations compatible with boundary rational qKZ equation

2009-08-17

arxiv.org/abs/0908.2288v2

Mathematics

Quantum Algebra

25 pages, no figure; Section 4.2, 4.4 and 4.6 are revised.

Scientific paper

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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