{
  "id": "1704.02460",
  "version": "v1",
  "published": "2017-04-08T09:27:59.000Z",
  "updated": "2017-04-08T09:27:59.000Z",
  "title": "Graded Lie algebras and regular prehomogeneous vector spaces with one-dimensional scalar multiplication",
  "authors": [
    "Nagatoshi Sasano"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "The aim of this paper is to study relations between regular reductive PVs with one-dimensional scalar multiplication and the structure of graded Lie algebras. We will show that the regularity of such PVs is described by an $\\mathfrak{sl}_2$-triplet of a graded Lie algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-08T09:27:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "graded lie algebra",
      "regular prehomogeneous vector spaces",
      "one-dimensional scalar multiplication",
      "regular reductive pvs",
      "study relations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}