{
  "id": "2203.09007",
  "version": "v1",
  "published": "2022-03-17T01:02:58.000Z",
  "updated": "2022-03-17T01:02:58.000Z",
  "title": "A categorification of the Lusztig--Vogan module",
  "authors": [
    "Scott Larson",
    "Anna Romanov"
  ],
  "comment": "60 pages, preliminary version, comments welcome",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "We construct two categorifications of the Lusztig--Vogan module associated to a real reductive algebraic group. The first categorification is given by semisimple complexes in an equivariant derived category, and the second is constructed as a module category over Soergel bimodules. Our categorifications are related by taking equivariant hypercohomology.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-17T01:02:58.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "lusztig-vogan module",
      "real reductive algebraic group",
      "soergel bimodules",
      "first categorification",
      "module category"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 60,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}