Differential equations compatible with boundary rational qKZ equation
Quantum Algebra
2010-03-22 v2 Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.0908.2288,
title = {Differential equations compatible with boundary rational qKZ equation},
author = {Yoshihiro Takeyama},
journal= {arXiv preprint arXiv:0908.2288},
year = {2010}
}
Comments
25 pages, no figure; Section 4.2, 4.4 and 4.6 are revised.