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Super Tannakian hulls

2020/12/31 by O'Sullivan, Peter
#Category Theory (math.CT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2012.15703

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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