Explicit Rational Solutions of Knizhnik-Zamolodchikov Equation

Details Explicit Rational Solutions of Knizhnik-Zamolodchikov Equation Explicit Rational Solutions of Knizhnik-Zamolodchikov Equation

2007-05-30

arxiv.org/abs/0705.4362v1

Cent. Eur. J. Math. 6 (2008) 179-187

Mathematics

Classical Analysis and ODEs

Scientific paper

We consider the Knizhnik-Zamolodchikov system of linear differential equations. The coefficients of this system are rational functions generated by elements of the symmetric group $S_{n}$. We assume that parameter $\rho=\pm{1}$. In previous paper we proved that the fundamental solution of the corresponding KZ-equation is rational. Now we construct this solution in the explicit form.

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