{
  "id": "math/0209235",
  "version": "v1",
  "published": "2002-09-18T21:11:03.000Z",
  "updated": "2002-09-18T21:11:03.000Z",
  "title": "Tilting modules for Lie superalgebras",
  "authors": [
    "Jonathan Brundan"
  ],
  "comment": "16 pages",
  "journal": "Commun. in Algebra 32 (2004), 2251-2268.",
  "categories": [
    "math.RT"
  ],
  "abstract": "This is a companion article to my papers on Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebras gl(m|n) (much revised!) and q(n). The goal is to develop the general theory of tilting modules for Lie superalgebras, working in a general graded setting very similar to work of Soergel (Character formulae for tilting modules over Kac-Moody algebras, Represent. Theory 2 (1998), 432-438) in the Lie algebra case. Examples are given involving the Lie superalgebras gl(m|n) and q(n), but maybe this will also be useful for the other classical and affine Lie superalgebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-09-18T21:11:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10"
    ],
    "keywords": [
      "tilting modules",
      "character formulae",
      "affine lie superalgebras",
      "lie algebra case",
      "companion article"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......9235B"
    }
  }
}