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Tannaka duality and stable infinity-categories

Published 11 Sep 2014 in math.AG, math.AT, and math.NT | (1409.3321v3)

Abstract: We introduce a notion of fine Tannakian infinity-categories and prove Tannakian characterization results for symmetric monoidal stable infinity-categories over a field of characteristic zero. It connects derived quotient stacks with symmetric monoidal stable infinity-categories which satisfy a certain simple axiom. We also discuss several applications to examples.

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