{
  "id": "2012.12568",
  "version": "v1",
  "published": "2020-12-23T09:55:12.000Z",
  "updated": "2020-12-23T09:55:12.000Z",
  "title": "$0$-Hecke modules for Young row-strict quasisymmetric Schur functions",
  "authors": [
    "Joshua Bardwell",
    "Dominic Searles"
  ],
  "comment": "22 pages",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We construct modules of the $0$-Hecke algebra whose images under the quasisymmetric characteristic map are the Young row-strict quasisymmetric Schur functions. This provides a representation-theoretic interpretation of this basis of quasisymmetric functions, answering a question of Mason and Niese (2015). Additionally, we classify when these modules are indecomposable.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-12-23T09:55:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05",
      "20C08",
      "05E10"
    ],
    "keywords": [
      "young row-strict quasisymmetric schur functions",
      "hecke modules",
      "quasisymmetric characteristic map",
      "construct modules",
      "hecke algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}