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arXiv · 2012.15703

Super Tannakian hulls

Peter O'Sullivan
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Abstract

We consider essentially small rigid tensor categories (not necessarily abelian) which have a faithful tensor functor to a category of super vector spaces over a field of characteristic 0. It is shown how to construct for each such tensor category a super Tannakian hull, which is a universal faithful tensor functor to a super Tannakian category over a field of characteristic 0. The construction is analogous to the passage from an integral domain to its field of fractions.

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Peter O'Sullivan. 2020-12-31. Super Tannakian hulls. https://arxiv.org/abs/2012.15703

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