{
  "id": "0909.4214",
  "version": "v3",
  "published": "2009-09-23T13:46:02.000Z",
  "updated": "2011-10-07T15:50:33.000Z",
  "title": "The linkage principle for restricted critical level representations of affine Kac-Moody algebras",
  "authors": [
    "Tomoyuki Arakawa",
    "Peter Fiebig"
  ],
  "comment": "25 pages, substantially revised version, closing a gap in the earlier versions",
  "doi": "10.1112/S0010437X12000395",
  "categories": [
    "math.RT"
  ],
  "abstract": "We study the restricted category O for an affine Kac--Moody algebra at the critical level. In particular, we prove the first part of the Feigin-Frenkel conjecture: the linkage principle for restricted Verma modules. Moreover, we prove a version of the BGGH-reciprocity principle and we determine the block decomposition of the restricted category O. For the proofs we need a deformed version of the classical structures, so we mostly work in a relative setting.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-10-07T15:50:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B67",
      "81R10"
    ],
    "keywords": [
      "affine kac-moody algebra",
      "restricted critical level representations",
      "linkage principle",
      "restricted category",
      "feigin-frenkel conjecture"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.4214A"
    }
  }
}