Tannakian categories in positive characteristic
Category Theory
2021-03-01 v5 Representation Theory
Abstract
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.
Cite
@article{arxiv.1812.02452,
title = {Tannakian categories in positive characteristic},
author = {Kevin Coulembier},
journal= {arXiv preprint arXiv:1812.02452},
year = {2021}
}
Comments
v2: with appendix working out the details of a letter from Deligne to Vasiu v3: some typos corrected v4: correction in characterisation super tannakian categories