{
  "id": "1612.01484",
  "version": "v1",
  "published": "2016-12-05T19:15:22.000Z",
  "updated": "2016-12-05T19:15:22.000Z",
  "title": "Stability of the Chari-Loktev bases for local Weyl modules of $\\mathfrak{sl}_{r+1}[t]$",
  "authors": [
    "B. Ravinder"
  ],
  "comment": "19 pages",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We prove stability of the Chari-Loktev bases with respect to the inclusions of local Weyl modules of the current algebra $\\mathfrak{sl}_{r+1}[t]$. This is conjectured in \\cite{RRV2} and proved the $r=1$ case in \\cite{RRV1}. Local Weyl modules being known to be Demazure submodules in the level one representations of the affine Lie algebra $\\widehat{\\mathfrak{sl}_{r+1}}$, we obtain, by passage to the direct limit, bases for the level one representations themselves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-05T19:15:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B67",
      "17B10"
    ],
    "keywords": [
      "local weyl modules",
      "chari-loktev bases",
      "affine lie algebra",
      "direct limit",
      "demazure submodules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}