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arxiv: 1510.06773 · v3 · pith:VYPS2HQPnew · submitted 2015-10-22 · 🧮 math.RT

Stratification for module categories of finite group schemes

classification 🧮 math.RT
keywords modulecategoryfinitegroupstableapplicationsbehaviorcategories
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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.

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