Acta Mathematica

Volume 222 (2019)

Number 2

Counterexamples to Strassen's direct sum conjecture

Pages: 363 – 379

DOI: https://dx.doi.org/10.4310/ACTA.2019.v222.n2.a3

Author

Yaroslav Shitov (Moscow, Russia)

Abstract

The rank of tensors is not additive with respect to the direct sum.

2010 Mathematics Subject Classification

15A69

Full Text (PDF format)

Received 15 June 2018

Received revised 13 March 2019

Accepted 5 May 2019

Published 7 June 2019