Rational Invariants of Finite Abelian Groups - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year : 2013

Rational Invariants of Finite Abelian Groups

Evelyne Hubert
George Labahn
  • Function : Author
  • PersonId : 917248

Abstract

We investigate the field of rational invariants of the linear action of a finite abelian group in the non modular case. By diagonalization, the group is accurately described by an integer matrix of exponents. We make use of linear algebra to compute a minimal generating set of invariants and the substitution to rewrite any invariant in terms of this generating set. We show that the generating set can be chosen to consist of polynomial invariants. As an application, we provide a symmetry reduction scheme for polynomial systems the solution set of which are invariant by the group action.
Fichier principal
Vignette du fichier
HubertLabahnAbelian.pdf (248.5 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00921905 , version 1 (22-12-2013)
hal-00921905 , version 2 (18-01-2014)
hal-00921905 , version 3 (20-01-2014)
hal-00921905 , version 4 (21-10-2014)

Identifiers

  • HAL Id : hal-00921905 , version 1

Cite

Evelyne Hubert, George Labahn. Rational Invariants of Finite Abelian Groups. 2013. ⟨hal-00921905v1⟩
440 View
729 Download

Share

Gmail Facebook X LinkedIn More