## 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:

 1.1e+77 Forms of degree higher than two

### Keywords:

classification of trilinear forms; cuboids
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