On defining characteristic representations of finite reductive groups

TL;DR

This paper provides a method to parameterize the irreducible representations of finite groups of Lie type specifically in their defining characteristic, advancing understanding of their representation theory.

Contribution

It introduces a new parameterization framework for irreducible representations of finite reductive groups in their defining characteristic.

Findings

New parameterization of irreducible representations

Enhanced understanding of representation structure

Framework applicable to finite reductive groups

Abstract

We give parameterizations of the irreducible representations of finite groups of Lie type in their defining characteristic.