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arXiv · 1604.07691

Sufficient conditions for Strassen's additivity conjecture

Zach Teitler
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Abstract

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.

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Zach Teitler. 2016-04-26. Sufficient conditions for Strassen's additivity conjecture. https://doi.org/10.1215/ijm%2F1488186021

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