{
  "id": "1506.08792",
  "version": "v1",
  "published": "2015-06-29T19:26:49.000Z",
  "updated": "2015-06-29T19:26:49.000Z",
  "title": "Bases for the Global Weyl modules of $\\mathfrak{sl}_n$ of highest weight $mω_1$",
  "authors": [
    "Samuel Chamberlin",
    "Amanda Croan"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We utilize a theorem of B. Feigin and S. Loktev to give explicit bases for the global Weyl modules for the map algebras of the form $\\mathfrak{sl}_n\\otimes A$ of highest weight $m\\omega_1$. These bases are given in terms of specific elements of the universal enveloping algebra, $\\mathbf{U}(\\mathfrak{sl}_n\\otimes A)$, acting on the highest weight vector.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-06-29T19:26:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "global weyl modules",
      "highest weight vector",
      "explicit bases",
      "universal enveloping algebra",
      "specific elements"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150608792C"
    }
  }
}