On commutator relations in $2$-spherical RGD-systems

TL;DR

This paper studies the commutator relations among nested prenilpotent roots in 2-spherical RGD-systems, identifying cases where these relations are trivial, thus advancing understanding of their algebraic structure.

Contribution

It provides a detailed analysis of when commutator relations are trivial in 2-spherical RGD-systems, clarifying their algebraic behavior.

Findings

Identifies conditions for trivial commutator relations

Analyzes nested prenilpotent roots

Enhances understanding of RGD-system algebraic structure

Abstract

In this paper we investigate the commutator relations for prenilpotent roots which are nested. These commutator relations are trivial in a lot of cases.