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arXiv · 1811.12725

Skew-Symmetric Tensor Decomposition

Enrique Arrondo·Alessandra Bernardi·Pedro Macias Marques·Bernard Mourrain
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Abstract

We introduce the ``skew apolarity lemma'' and we use it to give algorithms for the skew-symmetric rank and the decompositions of tensors in {$\bigwedge^dV_{\mathbb{C}}$ with $d\leq 3$ and $\dim V_{\mathbb{C}} \leq 8$}. New algorithms to compute the rank and a minimal decomposition of a tritensor are also presented.

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Enrique Arrondo, Alessandra Bernardi, Pedro Macias Marques, Bernard Mourrain. 2018-11-30. Skew-Symmetric Tensor Decomposition. https://doi.org/10.1142/s0219199719500615

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