{
  "id": "1906.04383",
  "version": "v1",
  "published": "2019-06-11T04:10:28.000Z",
  "updated": "2019-06-11T04:10:28.000Z",
  "title": "Indecomposable $0$-Hecke modules for extended Schur functions",
  "authors": [
    "Dominic Searles"
  ],
  "comment": "11 pages",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "The extended Schur functions form a basis of quasisymmetric functions that contains the Schur functions. We provide a representation-theoretic interpretation of this basis by constructing $0$-Hecke modules whose quasisymmetric characteristics are the extended Schur functions. We further prove these modules are indecomposable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-11T04:10:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05",
      "20C08",
      "05E10"
    ],
    "keywords": [
      "hecke modules",
      "extended schur functions form",
      "indecomposable",
      "quasisymmetric characteristics",
      "quasisymmetric functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}