On classification of non-abelian Toda systems

TL;DR

This paper presents a straightforward method for enumerating all Toda systems linked to complex classical Lie groups, aiding the classification of these integrable models.

Contribution

It introduces a simple procedure to systematically classify non-abelian Toda systems associated with complex classical Lie groups.

Findings

Provides a complete enumeration method for Toda systems

Facilitates further research in integrable systems and Lie theory

Simplifies the classification process for non-abelian Toda systems

Abstract

A simple procedure to enumerate all Toda systems associated with complex classical Lie groups is given.