{
  "id": "1307.1440",
  "version": "v2",
  "published": "2013-07-04T18:13:38.000Z",
  "updated": "2014-08-20T16:57:25.000Z",
  "title": "BGG reciprocity for current algebras",
  "authors": [
    "Vyjayanthi Chari",
    "Bogdan Ion"
  ],
  "comment": "23 pg, corrections to Lemma 2.14",
  "categories": [
    "math.RT",
    "math.CO",
    "math.QA"
  ],
  "abstract": "It was conjectured by Bennett, Chari, and Manning that a BGG-type reciprocity holds for the category of graded representations with finite-dimensional graded components for the current algebra associated to a simple Lie algebra. We associate a current algebra to any indecomposable affine Lie algebra and show that, in this generality, the BGG reciprocity is true for the corresponding category of representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-07-04T18:13:38.000Z",
      "comment": "22 pg",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-08-20T16:57:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B67"
    ],
    "keywords": [
      "current algebra",
      "bgg reciprocity",
      "simple lie algebra",
      "indecomposable affine lie algebra",
      "bgg-type reciprocity holds"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1307.1440C"
    }
  }
}