Solutions of Trigonometric KZ Equations satisfy Dynamical Difference Equations
Quantum Algebra
2007-05-23 v1
Abstract
The trigonometric KZ equations associated to a Lie algebra \g depend on a parameter \lambda in \h where \h is a Cartan subalgebra of \g. A system of dynamical difference equations with respect to \lambda compatible with the KZ equations is introduced in Tarasov and Varchenko. We prove that the standard hypergeometric solutions of the trigonometric KZ equations associated to sl_N also satisfy the dynamical difference equations.
Keywords
Cite
@article{arxiv.math/0103226,
title = {Solutions of Trigonometric KZ Equations satisfy Dynamical Difference Equations},
author = {Y. Markov and A. Varchenko},
journal= {arXiv preprint arXiv:math/0103226},
year = {2007}
}
Comments
AMS-LaTeX, 38 pages, 9 figures