Mathematics – Representation Theory
Scientific paper
2008-07-16
Journal of Algebra 321 (10) (2009) 3043-3062
Mathematics
Representation Theory
24 pages; better structured Definition 2 and other statements of the paper; more examples; more detailed proof of Theorem 14
Scientific paper
10.1016/j.jalgebra.2009.02.008
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.
No associations
LandOfFree
Differential Tannakian Categories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Differential Tannakian Categories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Differential Tannakian Categories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-660258