English

Difference Equations Compatible with Trigonometric KZ Differential Equations

Quantum Algebra 2007-05-23 v3

Abstract

The trigonometric KZ equations associated with a Lie algebra \g\g depend on a parameter λ\h\lambda\in\h where \h\g\h\subset\g is the Cartan subalgebra. We suggest a system of dynamical difference equations with respect to λ\lambda compatible with the KZ equations. The dynamical equations are constructed in terms of intertwining operators of \g\g-modules.

Keywords

Cite

@article{arxiv.math/0002132,
  title  = {Difference Equations Compatible with Trigonometric KZ Differential Equations},
  author = {V. Tarasov and A. Varchenko},
  journal= {arXiv preprint arXiv:math/0002132},
  year   = {2007}
}

Comments

23 pages, AmsTeX, third version, some misprints were corrected