Equivariant Burnside groups and representation theory

TL;DR

This paper introduces a novel application of equivariant Burnside groups combined with De Concini-Procesi models to differentiate finite group actions in algebraic geometry.

Contribution

It presents a new method for distinguishing linear actions of finite groups up to equivariant birationality using equivariant Burnside groups.

Findings

Successfully distinguishes finite group actions

Utilizes De Concini-Procesi models for analysis

Provides a new algebraic approach

Abstract

We apply the equivariant Burnside group formalism to distinguish linear actions of finite groups, up to equivariant birationality. Our approach is based on De Concini-Procesi models of subspace arrangements.