RT Journal Article T1 The hyperdeterminant vanishes on all but two Schur functors A1 Tocino-Sánchez, Alicia K1 Matrices (Matemáticas) AB We recall the notion of hyperdeterminant of a multidimensional matrix (tensor). We prove that if we restrict the hyperdeterminant to a skew-symmetric tensor p V ⊆ V ⊗p withp ≥ 3 then it vanishes. The hyperdeterminant also vanisheswhen we restrict it to the space Γλ ⊗ SλV ⊂ V ⊗p where λ isa Young diagram with p boxes and λ2 ≥ 2 or λ3 ≥ 1. PB Elsevier YR 2016 FD 2016 LK https://hdl.handle.net/10630/33355 UL https://hdl.handle.net/10630/33355 LA eng NO A. Tocino, The hyperdeterminant vanishes on all but two Schur functors, Journal of Algebra, Volume 450, 2016, Pages 316-322, ISSN 0021-8693, https://doi.org/10.1016/j.jalgebra.2015.11.018. DS RIUMA. Repositorio Institucional de la Universidad de Málaga RD 25 abr 2026