Tannakian categories in positive characteristic

Kevin Coulembier

Tannakian categories in positive characteristic

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arxiv 1812.02452 v5 pith:KP4QD5QG submitted 2018-12-06 math.CT math.RT

Kevin Coulembier This is my paper · ORCID

classification math.CTmath.RT

keywords characteristicpositivecategoriescharacterisationstannakiantensorcategorycorresponding

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We determine internal characterisations for when a tensor category is (super) tannakian, for fields of positive characteristic. This generalises the corresponding characterisations in characteristic zero by P. Deligne. We also explore notions of Frobenius twists in tensor categories in positive characteristic.

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Classical interpolation categories
math.RT 2025-07 conditional novelty 7.0 of 10

Ultraproduct and oligomorphic-group constructions of interpolation categories for finite classical groups agree, and the categories depend only on a parameter t, with an additional parity label in the orthogonal case.

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