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Mathematics > Algebraic Geometry

Title: Good Basic Invariants and Frobenius Structures

Authors: Ikuo Satake
(Submitted on 4 Apr 2020 (v1), last revised 7 May 2024 (this version, v2))
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.
Comments: 24 pages, added section 4 examples
Subjects: Algebraic Geometry (math.AG); Differential Geometry (math.DG); Representation Theory (math.RT)
MSC classes: 32G20
Cite as: arXiv:2004.01871 [math.AG]
  (or arXiv:2004.01871v2 [math.AG] for this version)

Submission history

From: Ikuo Satake [view email]
[v1] Sat, 4 Apr 2020 06:19:31 GMT (16kb)
[v2] Tue, 7 May 2024 06:32:59 GMT (18kb)
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