Connection coefficients and monodromy representations for a class of Okubo systems of ordinary differential equations, II

TL;DR

This paper explicitly constructs connection coefficients and monodromy representations for specific Okubo systems of ordinary differential equations, extending previous work on Yokoyama's list.

Contribution

It provides explicit formulas for connection coefficients and monodromy representations for a class of Okubo systems, advancing the understanding of their solution structures.

Findings

Explicit connection coefficients derived

Monodromy representations constructed

Extended previous results on Yokoyama's list

Abstract

In this paper we construct explicit connection coefficients and monodromy representations for the canonical solution matrices of Okubo systems ${\rm II}^*$, ${\rm III}^*$, ${\rm IV}$ and ${\rm IV}^*$ of ordinary differential equations in Yokoyama's list. This work is a continuation of our previous work arXiv:1606.07187.