{
  "id": "math/0501220",
  "version": "v1",
  "published": "2005-01-14T09:09:21.000Z",
  "updated": "2005-01-14T09:09:21.000Z",
  "title": "Applications of the category of linear complexes of tilting modules associated with the category O",
  "authors": [
    "Volodymyr Mazorchuk"
  ],
  "comment": "27 pages",
  "journal": "Algebr. Represent. Theory 12 (2009), no. 6, 489-512",
  "categories": [
    "math.RT"
  ],
  "abstract": "We use the category of linear complexes of tilting modules for the BGG category O, associated with a semi-simple complex finite-dimensional Lie algebra g, to reprove in purely algebraic way several known results about O obtained earlier by different authors using geometric methods. We also obtain several new results about the parabolic category O.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-01-14T09:09:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16S37",
      "17B10"
    ],
    "keywords": [
      "linear complexes",
      "tilting modules",
      "semi-simple complex finite-dimensional lie algebra",
      "applications",
      "geometric methods"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Represent. Theory"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......1220M"
    }
  }
}