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
Abstract

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.

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