Tannakian Approach to Linear Differential Algebraic Groups |
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Authors: | Alexey Ovchinnikov |
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Institution: | (1) Department of Mathematics, North Carolina State University, Raleigh, NC 27695-8205, USA;(2) Present address: Department of Mathematics, University of Illinois at Chicago, 851 S. Morgan Street, M/C 249, Chicago, IL 60607-7045, USA |
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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.
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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