Tannakian formalism over fields with operators

Details Tannakian formalism over fields with operators Tannakian formalism over fields with operators

2011-11-30

arxiv.org/abs/1111.7285v1

Mathematics

Representation Theory

33 pages

Scientific paper

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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