Good Basic Invariants and Frobenius Structures

Good Basic Invariants and Frobenius Structures

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...

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1. Verfasser: Satake, Ikuo
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Algebraic Geometry
Mathematics - Differential Geometry
Mathematics - Representation Theory
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Zusammenfassung: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.
DOI:10.48550/arxiv.2004.01871