The concept of Hyperdeterminant (or Cayley determinant) is a generalization of the concent of determinant to multidimensional matrices (hypermatrices, i.e. representations of tensors in a choice of linear basis).
The concept originates with Cayley.
Israel M. Gelfand, Mikhail Kapranov, Andrei Zelevinsky, Discriminants, Resultants, and Multidimensional Determinants gBooks
wikipedia hyperdeterminant (lists also the original references)
Giorgio Ottaviani, Introduction to the hyperdeterminant and to the rank of multidimensional matrices, arxiv/1301.0472
MathOverflow discussion on a possible volume interpretation of hyperdeterminants:
Last revised on October 20, 2015 at 08:56:52. See the history of this page for a list of all contributions to it.