Illinois Journal of Mathematics

Sufficient conditions for Strassen’s additivity conjecture

Zach Teitler

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We give a sufficient condition for the strong symmetric version of Strassen’s additivity conjecture: the Waring rank of a sum of forms in independent variables is the sum of their ranks, and every Waring decomposition of the sum is a sum of decompositions of the summands. We give additional sufficient criteria for the additivity of Waring ranks and a sufficient criterion for additivity of cactus ranks and decompositions.

Article information

Illinois J. Math., Volume 59, Number 4 (2015), 1071-1085.

Received: 26 April 2016
Revised: 2 November 2016
First available in Project Euclid: 27 February 2017

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Zentralblatt MATH identifier

Primary: 15A21: Canonical forms, reductions, classification 15A69: Multilinear algebra, tensor products 14N15: Classical problems, Schubert calculus


Teitler, Zach. Sufficient conditions for Strassen’s additivity conjecture. Illinois J. Math. 59 (2015), no. 4, 1071--1085. doi:10.1215/ijm/1488186021.

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