Separation of the orbits in representations of SO 2 and O 2 over R and C
Résumé
We provide a minimal set of invariant polynomials separating all the orbits for representations of SO2
and O2 over C and R. We obtain very small cardinalities by selecting only polynomials of support of
bounded dimension. Altough they suffice for a lot of applications, the obtained separating sets are much
smaller than the already kwnown generating set. We also remark that real separating set are smaller
than the complex ones. We next stratify entirely the orbit space through the evaluation of the invariant
polynomials.
Domaines
Mathématiques générales [math.GM]Origine | Fichiers produits par l'(les) auteur(s) |
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