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The classification of (3,3,4) trilinear forms
Kok Onn Ng 대한수학회 2002 대한수학회지 Vol.39 No.6
Let U, V and W be complex vector spaces of dimensions 3,3 and 4 respectively. The reductive algebraic groupG=PGL(U)times PGL(V)times PGL(W) acts linearly on theprojective tensor product space {mathbb P}(Uotimes VotimesW). In this paper, we show that the G-equivalence classes ofthe projective tensors are in one-to-one correspondence with thePGL(3)-equivalence classes of unordered configurations of sixpoints on the projective plane.
THE CLASSIFICATION OF (3, 3, 4) TRILINEAR FOR
Ng, Kok-Onn Korean Mathematical Society 2002 대한수학회지 Vol.39 No.6
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.