Module categories for finite group algebras
Dave Benson, Srikanth B. Iyengar, Henning Krause

TL;DR
This paper introduces the recent categorical classification theorems for module categories over finite group algebras, providing an accessible overview of the developments in this specialized area.
Contribution
It offers a comprehensive survey of the recent classification results specifically for module categories of finite group algebras.
Findings
Categorical classification theorems for finite group module categories
Connections between module categories and group-theoretic properties
Frameworks for understanding module categories via categorical methods
Abstract
This survey article is intended as an introduction to the recent categorical classification theorems of the three authors, restricting to the special case of the category of modules for a finite group.
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