Character sheaves on disconnected groups, X

TL;DR

This paper classifies unipotent character sheaves on a fixed connected component of a reductive algebraic group, providing a detailed understanding of their structure under certain field characteristic conditions.

Contribution

It offers a classification of unipotent character sheaves on disconnected groups, extending previous work to new group components with mild characteristic assumptions.

Findings

Classification of unipotent character sheaves achieved

Results applicable to groups over fields with mild characteristic constraints

Enhanced understanding of sheaf structures on disconnected algebraic groups

Abstract

We classify the unipotent character sheaves on a fixed connected component of a reductive algebraic group under a mild hypothesis on the characteristic of the ground field.