Algorithm classifying roots of star-shaped Kac-Moody root systems
Representation Theory
2025-04-29 v1 Mathematical Physics
Classical Analysis and ODEs
math.MP
Exactly Solvable and Integrable Systems
Abstract
For a star-shaped Kac-Moody root system, we provide an effective algorithm to obtain representatives of the Weyl group orbits of roots with a given norm and implement it as a computer program. We also explain the relationship between these orbits and Fuchsian differential equations on the Riemann sphere, as well as higher-dimensional Painleve-type equations.
Cite
@article{arxiv.2504.18542,
title = {Algorithm classifying roots of star-shaped Kac-Moody root systems},
author = {Toshio Oshima},
journal= {arXiv preprint arXiv:2504.18542},
year = {2025}
}
Comments
19 pages