Unipotent character sheaves and strata of a reductive group, II

TL;DR

This paper extends the understanding of unipotent character sheaves by establishing a surjective map from these sheaves to the strata of a reductive group component, generalizing previous results to disconnected groups.

Contribution

It introduces a surjective map from unipotent character sheaves to strata for any reductive group component, broadening the scope beyond connected groups.

Findings

Established a surjective map from unipotent character sheaves to strata.

Extended previous results to disconnected reductive groups.

Provides a new framework for understanding sheaves and strata correspondence.

Abstract

Let D be a connected component of a reductive group over an algebraically closed field. We define a surjective map from the unipotent character sheaves on D to the set of strata of D, extending an earlier result which applied to connected reductive groups.