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@PedroJuanSoto I am investigating the space of unique core tensors in the HOSVD decomposition. I have concluded that requiring the values $a_{1,1,1}$, $a_{2,1,1}$, $a_{1,2,1}$ to be positive reals makes it somewhat unique. And by dimension I mean topological.
@Bonnevie Have you had any success in characterizing the space of 2x2x2 all orthogonal tensors? I've tried but to no avail. Or found any properties of the dimension of these spaces?
