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.
- finite group scheme
- localizing subcatergory
- thick subcategory
Benson, D., Iyengar, S. B., Krause, H., & Pevtsova, J. (2018). Stratification for module categories of finite group schemes. Journal of the American Mathematical Society, 31(1), 265-302. https://doi.org/10.1090/jams/887