{
  "id": "2004.03587",
  "version": "v1",
  "published": "2020-04-07T01:43:59.000Z",
  "updated": "2020-04-07T01:43:59.000Z",
  "title": "Good Basic Invariants for Elliptic Weyl Groups and Frobenius Structures",
  "authors": [
    "Ikuo Satake"
  ],
  "comment": "27 pages. arXiv admin note: text overlap with arXiv:2004.01871",
  "categories": [
    "math.AG",
    "math.DG",
    "math.RT"
  ],
  "abstract": "In this paper, we define a set of good basic invariants for the elliptic Weyl group for the elliptic root system. For the elliptic root system of codimension $1$, 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 structure obtained by the author.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-04-07T01:43:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "32G20"
    ],
    "keywords": [
      "elliptic weyl group",
      "basic invariants",
      "frobenius structure",
      "elliptic root system",
      "structure constants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}