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New Software and Platforms
New Results
Bibliography
New Software and Platforms
New Results
Bibliography


Section: New Results

Invariant Algebraic Sets and Symmetrization of Polynomial Systems

Participant : Evelyne Hubert.

Assuming the variety of a polynomial set is invariant under a group action, we construct, in [9], a set of invariants that cut the same variety. The construction can be seen as a generalization of the previously known construction for finite groups. The result though has to be understood outside an invariant variety which is independent of the polynomial set considered. We introduce the symmetrizations of a polynomial that are polynomials in a generating set of rational invariants. The generating set of rational invariants and the symmetrizations are constructed w.r.t. a section of the orbits of the group action.