Invariant Algebraic Sets and Symmetrization of Polynomial Systems

Evelyne Hubert 1
1 AROMATH - AlgebRe, geOmetrie, Modelisation et AlgoriTHmes
CRISAM - Inria Sophia Antipolis - Méditerranée , UoA - University of Athens
Abstract : Assuming the variety of a polynomial set is invariant under a group action, we construct a set of invariants that define the same variety. Our construction can be seen as a generalization of the previously known construction for finite groups once we introduce the symmetrizations of a polynomial w.r.t. a section to the orbits of the group action. The symmetrisations are polynomials in a generating set of rational invariants as constructed in [9]. The results have thus to be understood outside of a proper closed invariant variety, independent of the polynomial set considered.
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Contributeur : Evelyne Hubert <>
Soumis le : vendredi 21 avril 2017 - 18:07:09
Dernière modification le : jeudi 15 juin 2017 - 09:09:27

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Evelyne Hubert. Invariant Algebraic Sets and Symmetrization of Polynomial Systems. 2017. <hal-01254954v3>

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