{
  "id": "1407.0789",
  "version": "v3",
  "published": "2014-07-03T06:06:33.000Z",
  "updated": "2015-06-06T12:18:12.000Z",
  "title": "Stability of the Chari-Pressley-Loktev bases for local Weyl modules of $sl_2[t]$",
  "authors": [
    "K. N. Raghavan",
    "B. Ravinder",
    "Sankaran Viswanath"
  ],
  "comment": "20 pages; minor revisions",
  "journal": "Algebras and Representation Theory, 18, No. 2, 2015",
  "doi": "10.1007/s10468-014-9508-5",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We prove stability of the Chari-Pressley-Loktev bases for natural inclusions of local Weyl modules of the current algebra $sl_2[t]$. These modules being known to be Demazure submodules in the level 1 representations of the affine Lie algebra $\\widehat{sl_2}$, we obtain, by passage to the direct limit, bases for the level 1 representations themselves.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-07-14T09:02:08.000Z",
      "comment": "20 pages; minor typos corrected",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2015-06-06T12:18:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B67",
      "17B10"
    ],
    "keywords": [
      "local weyl modules",
      "chari-pressley-loktev bases",
      "affine lie algebra",
      "natural inclusions",
      "current algebra"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.0789R"
    }
  }
}