Normal forms for real quadratic forms
classification
🧮 math.RT
math.AG
keywords
formsdimensionalnormalquadraticcaseclosureformgrassmannian
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We investigate the non-diagonal normal forms of a quadratic form on R^n, in particular for n=3. For this case it is shown that the set of normal forms is the closure of a 5-dimensional submanifold in the 6-dimensional Grassmannian of 2-dimensional subspaces of \R^5.
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