Ikuo Satake
Published 2020-04-04Version 1
In this paper, we define a set of good basic invariants for the finite complex reflection groups under certain conditions. For the cases of the finite Coxeter groups (which satisfy the above conditions), we show that a set of good basic invariants give the flat invariants obtained by Saito and the Taylor coefficients of the good basic invariants give the structure constants of the multiplication of the Frobenius structures obtained by Dubrovin.
Satake's good basic invariants for finite complex reflection groups
Good Basic Invariants for Elliptic Weyl Groups and Frobenius Structures
A note on exponential varieties, statistical manifolds and Frobenius structures
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