{
  "id": "1212.6505",
  "version": "v3",
  "published": "2012-12-28T11:38:28.000Z",
  "updated": "2013-11-11T16:18:42.000Z",
  "title": "Weyl modules and Levi subalgebras",
  "authors": [
    "Ghislain Fourier"
  ],
  "comment": "22 pages, final version, to appear in JolT",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "For a simple complex Lie algebra of finite rank and classical type, we fix a triangular decomposition and consider the simple Levi subalgebras associated to closed subsets of roots. We study the restriction of global and local Weyl modules of current algebras to this Levi subalgebra. We identify necessary and sufficient conditions on a pair of a Levi subalgebra and a dominant integral weight, such that the restricted module is a global (resp. a local) Weyl module.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-11-11T16:18:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B67"
    ],
    "keywords": [
      "simple complex lie algebra",
      "local weyl modules",
      "dominant integral weight",
      "simple levi subalgebras",
      "finite rank"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.6505F"
    }
  }
}