Tannakian approach to linear differential algebraic groups
Representation Theory
2009-02-25 v3 Commutative Algebra
Abstract
Tannaka's Theorem states that a linear algebraic group G is determined by the category of finite dimensional G-modules and the forgetful functor. We extend this result to linear differential algebraic groups by introducing a category corresponding to their representations and show how this category determines such a group.
Cite
@article{arxiv.math/0702846,
title = {Tannakian approach to linear differential algebraic groups},
author = {Alexey Ovchinnikov},
journal= {arXiv preprint arXiv:math/0702846},
year = {2009}
}
Comments
31 pages; corrected misprints