Reducing mod p complex representations of finite reductive groups

TL;DR

This paper presents a conjecture concerning the reduction modulo the defining characteristic of unipotent representations in finite reductive groups, aiming to deepen understanding of their modular representation theory.

Contribution

It introduces a new conjecture on the behavior of unipotent representations under reduction modulo the characteristic, advancing theoretical insights in the field.

Findings

Proposes a conjecture on reduction behavior of unipotent representations

Provides a theoretical framework for modular representation analysis

Lays groundwork for future proofs and verifications

Abstract

We state a conjecture on the reduction modulo the defining characteristic of a unipotent representation of a finite reductive group.