Tannakian formalism for fiber functors over tensor categories
Category Theory
2016-09-13 v1
Abstract
In this paper we generalize Tannakian formalism to fiber functors over general tensor categories. We will show that (under some technical conditions) if the fiber functor has a section, then the source category is equivalent to the category of comodules over a Hopf algebra in the target category. We will also give a description of this Hopf algebra using the notion of framed objects.
Cite
@article{arxiv.1609.03023,
title = {Tannakian formalism for fiber functors over tensor categories},
author = {Mostafa Einollahzadeh and Amir Jafari},
journal= {arXiv preprint arXiv:1609.03023},
year = {2016}
}