{
  "id": "2411.13371",
  "version": "v1",
  "published": "2024-11-20T14:51:55.000Z",
  "updated": "2024-11-20T14:51:55.000Z",
  "title": "Fundamental quasisymmetric functions in superspace",
  "authors": [
    "Susanna Fishel",
    "Jessica Gatica",
    "Luc Lapointe",
    "Maria Elena Pinto"
  ],
  "comment": "20 pages, 8 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "The fundamental quasisymmetric functions in superspace are a generalization of the fundamental quasisymmetric functions involving anticommuting variables. We obtain the action of the product, coproduct, and antipode on the fundamental quasisymmetric functions in superspace. We also extend to superspace the well known expansion of the Schur functions in terms of fundamental quasisymmetric functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-20T14:51:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E05"
    ],
    "keywords": [
      "fundamental quasisymmetric functions",
      "superspace",
      "schur functions",
      "anticommuting variables"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}