A geometrical construction for the polynomial invariants of some reflection groups

Details A geometrical construction for the polynomial invariants of some reflection groups A geometrical construction for the polynomial invariants of some reflection groups

2004-01-20

arxiv.org/abs/math/0401254v1

Mathematics

Algebraic Geometry

10 pages

Scientific paper

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.

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