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arXiv · 1111.7285

Tannakian formalism over fields with operators

Moshe Kamensky
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Abstract

We develop a theory of tensor categories over a field endowed with abstract operators. Our notion of a "field with operators", coming from work of Moosa and Scanlon, includes the familiar cases of differential and difference fields, Hasse-Schmidt derivations, and their combinations. We develop a corresponding Tannakian formalism, describing the category of representations of linear groups defined over such fields. The paper extends the previously know (classical) algebraic and differential algebraic Tannakian formalisms.

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BibTeXRIS

Moshe Kamensky. 2011-11-30. Tannakian formalism over fields with operators. https://arxiv.org/abs/1111.7285

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