Representations of Compact Lie Groups of Low Cohomogeneity

TL;DR

This paper surveys classification tools for compact Lie group representations based on cohomogeneity and applies them to irreducible cases with cohomogeneity 6, 7, and 8.

Contribution

It introduces a comprehensive survey of methods for classifying low-cohomogeneity representations of compact Lie groups and applies these to specific irreducible cases.

Findings

Classification methods for cohomogeneity 6, 7, 8 representations

Application of tools to specific irreducible representations

Enhanced understanding of low-cohomogeneity representation structures

Abstract

We survey different tools to classify representations of compact Lie groups according to their cohomogeneity and apply these methods to the case of irreducible representations of cohomogeneity 6, 7 and 8.