Skew-symmetric tensor decomposition
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Communications in Contemporary Mathematics
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.
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Arrondo, Enrique; Bernardi, Alessandra; Marques, Pedro Macias; Mourrain, Bernard;
Skew-symmetric tensor decomposition.
Commun. Contemp. Math. 23 (2021), n.º 2, 1950061, 29 pp.