Stratification for module categories of finite group schemes

Benson, Dave; Iyengar, Srikanth; Krause, Henning; Pevtsova, Julia

doi:10.1090/jams/887

Stratification for module categories of finite group schemes
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by Dave Benson, Srikanth B. Iyengar, Henning Krause and Julia Pevtsova

J. Amer. Math. Soc. 31 (2018), 265-302

DOI: https://doi.org/10.1090/jams/887

Published electronically: August 15, 2017

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Abstract:

The tensor ideal localizing subcategories of the stable module category of all, including infinite dimensional, representations of a finite group scheme over a field of positive characteristic are classified. Various applications concerning the structure of the stable module category and the behavior of support and cosupport under restriction and induction are presented.

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