Stratification for module categories of finite group schemes

Benson, Dave¹ ; Iyengar, Srikanth² ; Krause, Henning³ ; Pevtsova, Julia⁴

¹ Institute of Mathematics, University of Aberdeen, King’s College, Aberdeen AB24 3UE, Scotland, United Kingdom
² Department of Mathematics, University of Utah, Salt Lake City, Utah 84112
³ Fakultät für Mathematik, Universität Bielefeld, 33501 Bielefeld, Germany
⁴ Department of Mathematics, University of Washington, Seattle, Washington 98195

Journal of the American Mathematical Society, Tome 31 (2018) no. 1, pp. 265-302

Résumé

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.

Détail

DOI : 10.1090/jams/887

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