The classification of thick representations of the symmetric group

TL;DR

This paper classifies thick and dense representations of the symmetric group over a field of characteristic zero, providing a comprehensive understanding of these representations.

Contribution

It offers the first complete classification of thick and dense representations of the symmetric group in characteristic zero.

Findings

Complete classification of thick representations

Complete classification of dense representations

Clarifies the structure of symmetric group representations

Abstract

We give the classification of thick representations and dense representations of the symmetric group over a field of characteristic zero.