English

A geometrical construction for the polynomial invariants of some reflection groups

Algebraic Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0401254,
  title  = {A geometrical construction for the polynomial invariants of some reflection groups},
  author = {Alessandra Sarti},
  journal= {arXiv preprint arXiv:math/0401254},
  year   = {2007}
}

Comments

10 pages