A geometrical construction for the polynomial invariants of some reflection groups

2004/01/20 by Alessandra Sarti, A. Sarti, Sarti, Alessandra
Mathematics · #14L24 #14L30 #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematics and Applications #math.AG #msc:14L24 #msc:14L30

paper · pdf · doi:10.48550/arxiv.math/0401254

10 pages

arxiv created 2004/01/20 · openalex publication_date 2004/01/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In these notes we investigate the rings of real polynomials in four variables, which are invariant under the action of the reflectiongroups [3,4,3] and [3,3,5]. It is well known that they are rationally generated in degree 2,6,8,12 and 2,12,20,30. We give a different proof of this fact by giving explicit equations for the generating polynomials.

Citations

• Pencils of symmetric surfaces in P₃

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