Three $q$-Painlev\'e equations with affine Weyl group symmetry of type $E_7^{(1)}$
Exactly Solvable and Integrable Systems
2023-04-19 v1 Mathematical Physics
math.MP
Abstract
Three -Painlev\'e type equations are derived through degenerations of the -Painlev\'e equation with affine Weyl group symmetry of type -. The three -Painlev\'e type equations are associated with different realizations of the same symmetry/surface type -/-. We give three representations of affine Weyl group actions of type -, and relations among them. The three - equations are also derived from the three representations respectively.
Cite
@article{arxiv.2304.08730,
title = {Three $q$-Painlev\'e equations with affine Weyl group symmetry of type $E_7^{(1)}$},
author = {Hidehito Nagao and Yasuhiko Yamada},
journal= {arXiv preprint arXiv:2304.08730},
year = {2023}
}
Comments
15 pages, 4 figures