Tensor structure for Nori motives

Luca Barbieri-Viale, Annette Huber and Mike Prest

Vol. 306 (2020), No. 1, 1–30

DOI: 10.2140/pjm.2020.306.1

Abstract

We construct a tensor product on Freyd’s universal abelian category $Ab\left(C\right)$ attached to an additive tensor category or a $\otimes$-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