Tannakian categories, linear differential algebraic groups, and parameterized linear differential equations

Details Tannakian categories, linear differential algebraic groups, and parameterized linear differential equations Tannakian categories, linear differential algebraic groups, and parameterized linear differential equations

2007-03-14

arxiv.org/abs/math/0703422v3

Transformation Groups 14 (1) (2009) 195-223

Mathematics

Representation Theory

26 pages; corrected misprints; simplified Definition 2; more references added

Scientific paper

10.1007/s00031-008-9042-9

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.

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