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

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 \(PGL(U) \times PGL(V) \times PGL(W)\).

MSC:

11E76 Forms of degree higher than two
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