Differential Tannakian Categories
Representation Theory
2013-03-05 v3 Commutative Algebra
Abstract
We define a differential Tannakian category and show that under a natural assumption it has a fibre functor. If in addition this category is neutral, that is, the target category for the fibre functor are finite dimensional vector spaces over the base field, then it is equivalent to the category of representations of a (pro-)linear differential algebraic group. Our treatment of the problem is via differential Hopf algebras and Deligne's fibre functor construction.
Cite
@article{arxiv.0807.2497,
title = {Differential Tannakian Categories},
author = {Alexey Ovchinnikov},
journal= {arXiv preprint arXiv:0807.2497},
year = {2013}
}
Comments
24 pages; better structured Definition 2 and other statements of the paper; more examples; more detailed proof of Theorem 14