# Skew-Symmetric Tensor Decomposition

4 AROMATH - AlgebRe, geOmetrie, Modelisation et AlgoriTHmes
CRISAM - Inria Sophia Antipolis - Méditerranée , NKUA | UoA - National and Kapodistrian University of Athens = University of Athens
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.
Document type :
Journal articles

https://hal.inria.fr/hal-01940005
Contributor : Bernard Mourrain <>
Submitted on : Thursday, November 29, 2018 - 9:07:45 PM
Last modification on : Tuesday, January 14, 2020 - 1:36:09 PM

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### Citation

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

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