Tensors and Hypermatrices

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Most Tensor Problems Are NP-Hard (2009, background): “9The hyperdeterminants discussed earlier in Section 3 are then called geometric hyperdeterminants for distinction [Lim 2013]; these are denoted Det.”
Hodge Laplacians on graphs (2015, unknown): “and L∧(T ) as an m-dimensional subspace of skew-symmetric hypermatrices [48] { [φijk] p i,j,k=1 ∈ R p×p×p : φijk = φjki = φkij = −φjik = −φikj = −φkji, φijk = 0 whenever {i, j, k} 6∈ T } .”
Tensor-Tensor Products with Invertible Linear Transforms (2015, background): “× × ∈ × × The structure imposed on C m × ` × n by our cosine product is different from the usual interpretation as a way of representing elements of tensor products of complex vector spaces [22].”