# Lower bounds for dimensions of irreducible representations of symmetric groups

## TL;DR

This paper establishes new explicit lower bounds for the dimensions of irreducible modular representations of finite symmetric groups, providing sharper asymptotic estimates than previously known.

## Contribution

It introduces novel, explicit, and asymptotically sharp lower bounds for the dimensions of irreducible modular representations of symmetric groups.

## Key findings

- New explicit lower bounds for representation dimensions
- Bounds are asymptotically sharp
- Improves upon previous estimates

## Abstract

We give new, explicit and asymptotically sharp, lower bounds for dimensions of irreducible modular representations of finite symmetric groups.