# Products of stabilizing representations

## TL;DR

This paper investigates how products of stabilizing symmetric group representations follow specific recursive relations, introducing new difference operators to describe their behavior.

## Contribution

It introduces a novel class of difference operators to characterize recursive relations in products of stabilizing representations.

## Key findings

- Products satisfy recursive relations.
- New difference operators effectively describe these relations.
- Advances understanding of representation stability.

## Abstract

We study representation stability in the sense of Church and Farb. We show that products of stabilizing Sn -representations fulfill certain recursive relations which can be described by a new class of difference operators.