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Tannakian Approach to Linear Differential Algebraic Groups

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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.

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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 Approach to Linear Differential Algebraic Groups. Transformation Groups 13, 413–446 (2008). https://doi.org/10.1007/s00031-008-9010-4

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  • DOI: https://doi.org/10.1007/s00031-008-9010-4

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