2025/04/03 by Oshima, Toshio
#34-04 (Secondary) #34M15 (Primary) 34M55 #Classical Analysis and ODEs (math.CA) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.2504.18542
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.