Stratification for module categories of finite group schemes

Abstract

The tensor ideal localising 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.

38 pages. Minor changes from the previous version. This paper will appear in the Journal of the American Mathematical Society