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Stratification for module categories of finite group schemes. (English) Zbl 1486.16011

Summary: 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.

MSC:

16G10 Representations of associative Artinian rings
20G10 Cohomology theory for linear algebraic groups
20J06 Cohomology of groups

References:

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