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Journal Articles Communications in Contemporary Mathematics Year : 2019

Skew-Symmetric Tensor Decomposition

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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 decomposition 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 tri-tensor are also presented.
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Dates and versions

hal-01940005 , version 1 (29-11-2018)

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Cite

Enrique Arrondo, Alessandra Bernardi, Pedro Macias Marques, Bernard Mourrain. Skew-Symmetric Tensor Decomposition. Communications in Contemporary Mathematics, 2019, 23 (02), pp.1950061. ⟨10.1142/S0219199719500615⟩. ⟨hal-01940005⟩
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