Please use this identifier to cite or link to this item: http://hdl.handle.net/10174/29144

Title: Skew-symmetric tensor decomposition
Authors: Arrondo, Enrique
Bernardi, Alessandra
Macias Marques, Pedro
Mourrain, Bernard
Keywords: Skew-symmetric rank
apolarity
tensor decomposition
Issue Date: Mar-2021
Publisher: Communications in Contemporary Mathematics
Citation: Arrondo, Enrique; Bernardi, Alessandra; Marques, Pedro Macias; Mourrain, Bernard; Skew-symmetric tensor decomposition. Commun. Contemp. Math. 23 (2021), n.º 2, 1950061, 29 pp.
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 the dth exterior power of a vector space V, with d at most 3 and dim V at most 8. New algorithms to compute the rank and a minimal decomposition of a tritensor are also presented.
URI: https://doi.org/10.1142/S0219199719500615
http://hdl.handle.net/10174/29144
Type: article
Appears in Collections:MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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