Vol. 306, No. 1, 2020

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Tensor structure for Nori motives

Luca Barbieri-Viale, Annette Huber and Mike Prest

Vol. 306 (2020), No. 1, 1–30

We construct a tensor product on Freyd’s universal abelian category Ab(C) attached to an additive tensor category or a -quiver and establish a universal property. This is used to give an alternative construction for the tensor product on Nori motives.

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Nori motive, tensor category, free abelian category
Mathematical Subject Classification 2010
Primary: 14F99
Secondary: 18E10, 18E30, 03C60
Received: 4 February 2019
Revised: 8 November 2019
Accepted: 2 January 2020
Published: 14 June 2020
Luca Barbieri-Viale
Dipartimento di Matematica “F. Enriques”
Università degli Studi di Milano
Annette Huber
Mathematisches Institut
Universität Freiburg
Mike Prest
Department of Mathematics
University of Manchester
United Kingdom