Geodesic
A universal rigid abelian tensor category
Documenta mathematica, Tome 27 (2022), pp. 699-717.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 18D15, 14C15
Keywords: rigid category, envelope, motive 
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     title = {A universal rigid abelian tensor category},
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Barbieri-Viale, Luca; Kahn, Bruno. A universal rigid abelian tensor category. Documenta mathematica, Tome 27 (2022), pp. 699-717. http://geodesic.mathdoc.fr/item/DOCMA_2022__27__a49/