{
  "id": "1912.07399",
  "version": "v1",
  "published": "2019-12-16T14:27:29.000Z",
  "updated": "2019-12-16T14:27:29.000Z",
  "title": "Bases and BGG resolutions of simple modules of Temperley-Lieb algebras of type B",
  "authors": [
    "Dimitris Michailidis"
  ],
  "comment": "35 pages, 12 figures",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We construct explicit bases of simple modules and Bernstein-Gelfand-Gelfand (BGG) resolutions of all simple modules of the (graded) Temperley-Lieb algebra of type B over a field of characteristic zero.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-16T14:27:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simple modules",
      "temperley-lieb algebra",
      "bgg resolutions",
      "construct explicit bases",
      "characteristic zero"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}