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Tannakian Categories, Linear Differential Algebraic Groups, and Parametrized Linear Differential Equations

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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 [18], [9].

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Author notes

  1. Alexey Ovchinnikov

    Present address: Department of Mathematics, University of Illinois at Chicago, 851 S. Morgan Street, M/C 249, Chicago, IL, 60607-7045, USA

Authors and Affiliations

  1. Department of Mathematics, North Carolina State University, Raleigh, NC, 27695-8205, USA

    Alexey Ovchinnikov

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  1. Alexey Ovchinnikov
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Correspondence to Alexey Ovchinnikov.

Additional information

This work was partially supported by NSF grant CCR-0096842 and by the Russian Foundation for Basic Research, project no. 05-01-00671.

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Ovchinnikov, A. Tannakian Categories, Linear Differential Algebraic Groups, and Parametrized Linear Differential Equations. Transformation Groups 14, 195–223 (2009). https://doi.org/10.1007/s00031-008-9042-9

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