On the endomorphism algebra of modular Gelfand-Graev representations

TL;DR

This paper investigates the structure of endomorphism algebras associated with modular Gelfand-Graev representations of finite reductive groups, focusing on their modular homomorphisms.

Contribution

It provides new insights into the modular properties of homomorphisms in the endomorphism algebra of these representations.

Findings

Characterization of modular homomorphisms

Insights into the algebraic structure of endomorphisms

Connections between Curtis and Curtis-Shoji homomorphisms

Abstract

We study the endomorphism algebras of a modular Gelfand-Graev representation of a finite reductive group by investigating modular properties of homomorphisms constructed by Curtis and Curtis-Shoji.