{
  "id": "2310.01555",
  "version": "v1",
  "published": "2023-10-02T18:50:07.000Z",
  "updated": "2023-10-02T18:50:07.000Z",
  "title": "The Lie superalgebra of transpositions",
  "authors": [
    "Christopher M. Drupieski",
    "Jonathan R. Kujawa"
  ],
  "comment": "30 pages",
  "categories": [
    "math.RT",
    "math.GR",
    "math.RA"
  ],
  "abstract": "We consider the group algebra of the symmetric group as a superalgebra, and describe its Lie subsuperalgebra generated by the transpositions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-10-02T18:50:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "20B30"
    ],
    "keywords": [
      "lie superalgebra",
      "transpositions",
      "group algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}