Generalized Springer theory and weight functions

TL;DR

This paper introduces a natural weight function for each Weyl group involved in the generalized Springer correspondence, enhancing the understanding of their structure and relationships.

Contribution

It presents a novel construction of weight functions associated with Weyl groups in the context of the generalized Springer correspondence.

Findings

Each Weyl group has a naturally defined weight function.

The weight functions provide new insights into the structure of Springer correspondence.

The approach unifies aspects of Weyl group theory and Springer theory.

Abstract

We show that each Weyl group which enters in the generalized Springer correspondence carries a natural weight function.