nLab hyperdeterminant

Contents

Idea

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).

References

The concept originates with Cayley.

MathOverflow discussion on a possible volume interpretation of hyperdeterminants:

  • Joseph O’Rourke, Does the hyperdeterminant calculate a quantity akin to the volume of a parallelepiped?, MathOverflow. URL (version: 2015-10-07).

Last revised on October 20, 2015 at 08:56:52. See the history of this page for a list of all contributions to it.