A Method of Classifying Simple Laced Root Systems

TL;DR

This paper introduces a straightforward classification method for simply laced root systems, which are root systems where all roots share the same norm, simplifying their analysis.

Contribution

The paper proposes a new, simple method for classifying all simply laced root systems, enhancing understanding of their structure.

Findings

Provides a complete classification of simply laced root systems

Simplifies the process of identifying such root systems

Facilitates further research in Lie algebra and related fields

Abstract

A root system in which all roots have same norm is known as a simply laced root system. We present a simple method of classifying all simply laced root systems.