Consider the component-wise action of the group $SO(p)\times SO(q)$ in the tensor product of two real vector spaces $S^2(R^p)\otimes R^q$. How to parametrize orbits of this action ? For $q=1$ we obtain a nice answer: the parameters are eigenvalues of the bilinear form.
2026-03-27 13:20:28.1774617628
Ring of invariants for the action of rotation groups in tensors.
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