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On symmetric fusion categories in positive characteristic
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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.
Forward citations
Cited by 2 Pith papers
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Classification of symmetric fusion categories over $\mathbb{R}$
Every symmetric fusion category over R is equivalent to the semi-linear super representation category of a Z2-graded finite super group.
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The highest weight theory for Representations of General Linear groups in the Verlinde categories in positive characteristic
The paper proves that changing the Borel subgroup for GL(X) in Ver_p is governed by lowest weights of GL(L_m|L_n), computed via circular weight and cap diagrams.
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