Representations of Algebras and Related Topics

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pp: 55–83

DOI: 10.4171/101-1/2

Module categories for finite group algebras

David J. Benson[1], Srikanth B. Iyengar[2] and Henning Krause[3]

(1) University of Aberdeen, UK
(2) University of Nebraska, Lincoln, United States
(3) Universit├Ąt Bielefeld, Germany

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.

Keywords: Modular representation theory, local cohomology, stable module category, idempotent modules, derived category, triangulated categories, local-global principle, stratification, costratification