Tannakian formalism over fields with operators

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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", derived from the 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. This paper extends the previously known (classical) algebraic and differential algebraic Tannakian formalisms.

Original languageEnglish
Pages (from-to)5571-5622
Number of pages52
JournalInternational Mathematics Research Notices
Volume2013
Issue number24
DOIs
StatePublished - 1 Sep 2013
Externally publishedYes

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