{
  "id": "0812.4472",
  "version": "v3",
  "published": "2008-12-24T02:47:26.000Z",
  "updated": "2010-08-14T18:16:03.000Z",
  "title": "Irregular Wakimoto modules and the Casimir connection",
  "authors": [
    "Roman M. Fedorov"
  ],
  "comment": "Final version, available at Springerlink.com",
  "journal": "Selecta Mathematica, Vol. 16(2), July 2010",
  "doi": "10.1007/s00029-010-0019-x",
  "categories": [
    "math.RT",
    "math.AG",
    "math.QA"
  ],
  "abstract": "We study some non-highest weight modules over an affine Kac-Moody algebra at non-critical level. Roughly speaking, these modules are non-commutative localizations of some non-highest weight \"vacuum\" modules. Using free field realization, we embed some rings of differential operators in endomorphism rings of our modules. These rings of differential operators act on a localization of the space of coinvariants of any module over the Kac-Moody algebra with respect to a certain level subalgebra. In a particular case this action is identified with the Casimir connection.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-08-14T18:16:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B67",
      "13N10",
      "14H60",
      "17B69"
    ],
    "keywords": [
      "irregular wakimoto modules",
      "casimir connection",
      "free field realization",
      "non-highest weight modules",
      "differential operators act"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.4472F"
    }
  }
}