# Decomposition numbers of 2-parts spin representations of symmetric groups in characteristic 2

## TL;DR

This paper provides explicit formulas for calculating decomposition numbers of 2-part spin representations of symmetric groups over characteristic 2, advancing understanding in modular representation theory.

## Contribution

It introduces explicit formulas for most decomposition numbers and establishes small upper bounds for many open cases in the modular reduction of spin representations.

## Key findings

- Explicit formulas for most decomposition numbers
- Small upper bounds for open cases
- Enhanced understanding of spin representations in characteristic 2

## Abstract

We give explicit formulas to compute most of the decomposition numbers of reductions modulo 2 of irreducible spin representations of symmetric groups indexed by partitions with at most 2 parts. In many of the still open cases small upper bounds are found.