Spin representations of Weyl groups and the Springer correspondence

TL;DR

This paper develops a unified framework to classify projective spin irreducible representations of Weyl groups, extending the Springer correspondence to encompass these spin representations.

Contribution

It introduces a novel approach that generalizes the Springer correspondence to include projective spin irreducible representations of Weyl groups.

Findings

Unified classification framework for spin representations

Extension of Springer correspondence to spin cases

New insights into the structure of Weyl group representations

Abstract

We give a common framework for the classification of projective spin irreducible representations of a Weyl group, modeled after the Springer correspondence for ordinary representations.