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http://dx.doi.org/10.4134/JKMS.2002.39.6.821

THE CLASSIFICATION OF (3, 3, 4) TRILINEAR FOR  

Ng, Kok-Onn (Block 614 Senja Road )
Publication Information
Journal of the Korean Mathematical Society / v.39, no.6, 2002 , pp. 821-879 More about this Journal
Abstract
Let U, V and W be complex vector spaces of dimensions 3, 3 and 4 respectively. The reductive algebraic group G = PGL(U) $\times$ PGL(W) $\times$ PGL(W) acts linearly on the projective tensor product space (equation omitted). In this paper, we show that the G-equivalence classes of the projective tensors are in one-to-one correspondence with the PGL(3)-equivalence classes of unordered configurations of six points on the projective plane.
Keywords
trilinear forms; cubic surfaces; configuration of six points on the plane;
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