Tropical Weyl Group Action via Point Configurations and τ-Functions of the q-Painlevé Equations |
| |
Authors: | Teruhisa Tsuda |
| |
Institution: | (1) Department of Mathematics, Kobe University, Rokko Kobe, 657-8501, Japan |
| |
Abstract: | Starting from certain point sets in the projective plane, we construct a tropical (or subtraction-free birational) representation of Weyl groups over the field of τ-functions. In particular, our construction includes E
8
(1)
, E
7
(1)
, E
6
(1)
and D
5
(1)
as affine cases; each of them gives rise to the q-difference Painlevé equation. |
| |
Keywords: | 14E05 20F55 34M55 37K35 39A13 |
本文献已被 SpringerLink 等数据库收录! |
|