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Super Tannakian hulls

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arxiv 2012.15703 v1 pith:PEQ5YG53 submitted 2020-12-31 math.CT

Peter O'Sullivan This is my paper · ORCID
classification math.CT
keywords supertensorcategoryfieldtannakiancharacteristicfaithfulfunctor
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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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  1. Tensor ideals of abelian type and quantum groups

    math.QA 2025-11 conditional novelty 7.0 of 10

    Tensor ideals of abelian type in quantum-group tilting categories are classified by nilpotent orbits (assuming the naturality conjecture), prime tensor ideals are classified unconditionally, and Duflo involutions for ...

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