Ramanujan's Heirs

TL;DR

This paper explores the influence of Ramanujan's work and the 'lost notebook' on the representation theory of symmetric groups, highlighting historical and mathematical connections discussed during a summer school.

Contribution

It provides a summary of ideas linking Ramanujan's work, his 'lost notebook,' and the representation theory of symmetric groups, inspired by a summer school discussion.

Findings

Historical insights into Ramanujan's influence on representation theory

Connections between Ramanujan's work and symmetric group representations

Motivations for further mathematical exploration

Abstract

Prof. Dr. Richard Dipper initiated the Summer School 1998 with Dr. Bernd Ackermann at the University of Stuttgart a year after Ramanujan's "lost notebook" had been published. The prime numbers needed in the representation theory of $\mathfrak{S}_{n}$ motivated me to think about the notebook, too. This article summarizes these ideas.