Discrete dynamical systems with $W(A^{(1)}_{m-1} \times A^{(1)}_{n-1})$ symmetry
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
We give a birational realization of affine Weyl group of type . We apply this representation to construct some discrete integrable systems and discrete Painlev\'e equations. Our construction has a combinatorial counterpart through the ultra-discretization procedure.
Keywords
Cite
@article{arxiv.nlin/0106029,
title = {Discrete dynamical systems with $W(A^{(1)}_{m-1} \times A^{(1)}_{n-1})$ symmetry},
author = {Kenji Kajiwara and Masatoshi Noumi and Yasuhiko Yamada},
journal= {arXiv preprint arXiv:nlin/0106029},
year = {2007}
}
Comments
10 pages