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Pré-Publication, Document De Travail Année : 2016

Invariantization and Polynomial Systems with Symmetry

Résumé

Assuming the variety of a polynomial set is invariant under a group action, we provide a set of invariants that define the same variety. The contribution is about infinite algebraic groups, the case of finite group being previously known. We introduce for those a new definition of the concept of algebraic invariantization. It is based on the construction of rational invariants by Hubert and Kogan (2007), a construction for which we provide here new simplified proofs.
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Dates et versions

hal-01254954 , version 1 (12-01-2016)
hal-01254954 , version 2 (18-01-2016)
hal-01254954 , version 3 (21-04-2017)
hal-01254954 , version 4 (25-09-2018)

Identifiants

  • HAL Id : hal-01254954 , version 2

Citer

Evelyne Hubert. Invariantization and Polynomial Systems with Symmetry. 2016. ⟨hal-01254954v2⟩

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