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A universal rigid abelian tensor category - MaRDI portal

A universal rigid abelian tensor category (Q2138552)

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A universal rigid abelian tensor category
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    A universal rigid abelian tensor category (English)
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    12 May 2022
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    Summary: We prove that any rigid additive symmetric monoidal category can be mapped to a rigid abelian symmetric monoidal category in a universal way. This sheds a new light on abelian \(\otimes\)-envelopes and on motivic conjectures such as Grothendieck's standard conjecture \(\mathrm{D}\) and Voevodsky's smash nilpotence conjecture.
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    rigid category
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    envelope
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    motive
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