On a construction of the basic spin representations of symmetric groups

TL;DR

This paper introduces an inductive approach to construct basic spin representations of double covers of symmetric groups over various fields, advancing the understanding of their algebraic structure.

Contribution

It provides a new inductive method for constructing basic spin representations applicable to symmetric groups over any characteristic.

Findings

Method works for all characteristics

Simplifies construction process

Enhances understanding of spin representations

Abstract

We present an inductive method for constructing the basic spin representations of the double covers of the symmetric groups over fields of any characteristic.