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arxiv: 1503.01492 · v1 · pith:GKTBF4YYnew · submitted 2015-03-04 · 🧮 math.CT · math.QA

On symmetric fusion categories in positive characteristic

classification 🧮 math.CT math.QA
keywords casecategoriescharacteristicpositiveclassesconjecturalconjecturedeligne
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We propose a conjectural extension to positive characteristic case of a well known Deligne's theorem on the existence of super fiber functors. We prove our conjecture in the special case of semisimple categories with finitely many isomorphism classes of simple objects.

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