Quiver varieties and the character ring of general linear groups over finite fields

TL;DR

This paper links the structure of the character ring of general linear groups over finite fields to quiver representations, providing a new perspective on their algebraic properties.

Contribution

It introduces a novel description of the generic part of the character ring using quiver representations, bridging representation theory and algebraic geometry.

Findings

Character ring described via quiver representations

New connections between finite group characters and quiver theory

Framework for analyzing general linear group characters over finite fields

Abstract

We describe the "generic" part of the character ring of general linear groups over a finite field in terms of quiver representations.