Dynamical differential equations compatible with rational qKZ equations

Details Dynamical differential equations compatible with rational qKZ equations Dynamical differential equations compatible with rational qKZ equations

2004-03-24

arxiv.org/abs/math/0403416v2

Mathematics

Quantum Algebra

7 pages, AmsLaTeX

Scientific paper

10.1007/s11005-004-6363-z

For the Lie algebra $gl_N$ we introduce a system of differential operators
called the dynamical operators. We prove that the dynamical differential
operators commute with the $gl_N$ rational quantized Knizhnik-Zamolodchikov
difference operators. We describe the transformations of the dynamical
operators under the natural action of the $gl_N$ Weyl group.

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