منابع مشابه
Differential Tannakian categories
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 v...
متن کاملOn Differential Tannakian Categories and Coleman Integration
As part of my introductory lectures on Coleman integration, to be published in the proceedings of PIA 2010 The arithmetic of fundamental groups, I discussed the Galois theory of differential equations and the theory of differential Tannakian categories, with a speculative application to Coleman integration in families. The referee of the paper thought it was not appropriate to discuss this mate...
متن کاملTannakian Categories
1 Tensor Categories 4 Extending ̋ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 Invertible objects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 Internal Hom . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 Rigid tensor categories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 Tensor functors . . . . ...
متن کاملQuotients of Tannakian Categories
We classify the “quotients” of a tannakian category in which the objects of a tannakian subcategory become trivial, and we examine the properties of such quotient categories.
متن کاملModel Theory of Tannakian Categories
We are interested in the following situation: T1 is a theory expanding a theory T by additional sorts. There is a sort X of T1 such that for any sort Q of T1 there is a sort CQ of T , and a map fQ : Q × X → CQ, such that each fibre fQx is injective. In this situation, T1 is said to be internal to T (the usual notion of internality is slightly more general than this, but for our purposes this is...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2009
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2009.02.008