{
  "id": "1012.2592",
  "version": "v1",
  "published": "2010-12-12T21:40:44.000Z",
  "updated": "2010-12-12T21:40:44.000Z",
  "title": "Graded limits of minimal affinizations and Beyond: the multiplicty free case for type E6",
  "authors": [
    "Adriano Moura",
    "Fernanda Pereira"
  ],
  "comment": "31 pages",
  "journal": "Algebra and Discrete Mathematics 12 (2011), no. 1, 69-115",
  "categories": [
    "math.RT"
  ],
  "abstract": "We obtain a graded character formula for certain graded modules for the current algebra over a simple Lie algebra of type E6. For certain values of their highest weight, these modules were conjectured to be isomorphic to the classical limit of the corresponding minimal affinizations of the associated quantum group. We prove that this is the case under further restrictions on the highest weight. Under another set of conditions on the highest weight, Chari and Greenstein have recently proved that they are projective objects of a full subcategory of the category of graded modules for the current algebra. Our formula applies to all of these projective modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-12T21:40:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B70",
      "20G42"
    ],
    "keywords": [
      "multiplicty free case",
      "type e6",
      "minimal affinizations",
      "graded limits",
      "highest weight"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.2592M"
    }
  }
}