{
  "id": "1709.09764",
  "version": "v1",
  "published": "2017-09-27T23:52:27.000Z",
  "updated": "2017-09-27T23:52:27.000Z",
  "title": "Rigidity of tilting modules in category O",
  "authors": [
    "Kevin Coulembier"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "In this note we give an overview of rigidity properties and Loewy lengths of tilting modules in the BGG category O associated to a reductive Lie algebra. These results are well-known by several specialists, but seem difficult to find in the existing literature.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-09-27T23:52:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10"
    ],
    "keywords": [
      "tilting modules",
      "rigidity properties",
      "loewy lengths",
      "bgg category",
      "reductive lie algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}