{
  "id": "2310.17906",
  "version": "v1",
  "published": "2023-10-27T05:52:43.000Z",
  "updated": "2023-10-27T05:52:43.000Z",
  "title": "Data-scientific study of Kronecker coefficients",
  "authors": [
    "Kyu-Hwan Lee"
  ],
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We take a data-scientific approach to study whether Kronecker coefficients are zero or not. Motivated by principal component analysis and kernel methods, we define loadings of partitions and use them to describe a sufficient condition for Kronecker coefficients to be nonzero. The results provide new methods and perspectives for the study of these coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-27T05:52:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kronecker coefficients",
      "data-scientific study",
      "principal component analysis",
      "data-scientific approach",
      "kernel methods"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}