{
  "id": "2305.03876",
  "version": "v1",
  "published": "2023-05-05T23:35:19.000Z",
  "updated": "2023-05-05T23:35:19.000Z",
  "title": "The nil-Brauer category",
  "authors": [
    "Jonathan Brundan",
    "Weiqiang Wang",
    "Ben Webster"
  ],
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We introduce the nil-Brauer category and prove a basis theorem for its morphism spaces. The significance of the nil-Brauer category will be explained in a subsequent paper: it categorifies the split $\\imath$-quantum group of rank one.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-05T23:35:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10"
    ],
    "keywords": [
      "nil-brauer category",
      "basis theorem",
      "morphism spaces",
      "subsequent paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}