Tannakian categories, linear differential algebraic groups, and parameterized linear differential equations
Representation Theory
2009-02-25 v3 Commutative Algebra
Category Theory
Abstract
We provide conditions for a category with a fiber functor to be equivalent to the category of representations of a linear differential algebraic group. This generalizes the notion of a neutral Tannakian category used to characterize the category of representations of a linear algebraic group.
Cite
@article{arxiv.math/0703422,
title = {Tannakian categories, linear differential algebraic groups, and parameterized linear differential equations},
author = {Alexey Ovchinnikov},
journal= {arXiv preprint arXiv:math/0703422},
year = {2009}
}
Comments
26 pages; corrected misprints; simplified Definition 2; more references added