English

Good Basic Invariants for Elliptic Weyl Groups 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 the elliptic Weyl group for the elliptic root system. For an elliptic root system of codimension 11, 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.

Keywords

Cite

@article{arxiv.2004.03587,
  title  = {Good Basic Invariants for Elliptic Weyl Groups and Frobenius Structures},
  author = {Ikuo Satake},
  journal= {arXiv preprint arXiv:2004.03587},
  year   = {2024}
}

Comments

32 pages. arXiv admin note: text overlap with arXiv:2004.01871. Rewrote section 6;added appendices, fixed typos

R2 v1 2026-06-23T14:43:18.181Z