The classification of \((3,3,3)\) trilinear forms. (English) Zbl 0858.11023

Ng, Kok Onn

J. Reine Angew. Math. 468, 49-75 (1995).

Let \(U\), \(V\) and \(W\) be three dimensional vector spaces over \(\mathbb{C}\) (or an algebraically closed field with characteristic not equal to 2 or 3). The author classifies trilinear forms on \(U^* \otimes V^* \otimes W^*\) (abbreviated to cuboids) up to the action of \(PGL(U) \times PGL(V) \times PGL(W)\).

Reviewer: Kok Onn Ng (Cambridge / MA)

MSC:

11E76

Forms of degree higher than two

Keywords:

classification of trilinear forms; cuboids