Good Basic Invariants for Elliptic Weyl Groups and Frobenius Structures

Abstract

In this paper, we define a set of good basic invariants for the elliptic Weyl group for the elliptic root system. For an elliptic root system of codimension $1$, we show that a set of good basic invariants gives a set of flat invariants obtained by Saito and Taylor coefficients of the good basic invariants give the structure constants of the multiplication of the Frobenius structure obtained by the author.