Good Basic Invariants and Frobenius Structures
Algebraic Geometry
2024-11-07 v3 Differential Geometry
Representation Theory
Abstract
In this paper, we define a set of good basic invariants for a finite complex reflection group under certain conditions. We show that a set of good basic invariants for a finite real reflection group gives a set of the flat invariants obtained by Saito and the Taylor coefficients of these good basic invariants give the structure constants of the multiplication of the Frobenius structure obtained by Dubrovin.
Cite
@article{arxiv.2004.01871,
title = {Good Basic Invariants and Frobenius Structures},
author = {Ikuo Satake},
journal= {arXiv preprint arXiv:2004.01871},
year = {2024}
}
Comments
24 pages, added section 4 examples, clarified the derivation of (3.4)