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arXiv · 1409.0061

Lower bound for ranks of invariant forms

Harm Derksen·Zach Teitler
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Abstract

We give a lower bound for the Waring rank and cactus rank of forms that are invariant under an action of a connected algebraic group. We use this to improve the Ranestad--Schreyer--Shafiei lower bounds for the Waring ranks and cactus ranks of determinants of generic matrices, Pfaffians of generic skew-symmetric matrices, and determinants of generic symmetric matrices.

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Harm Derksen, Zach Teitler. 2014-08-29. Lower bound for ranks of invariant forms. https://arxiv.org/abs/1409.0061

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