{
  "id": "1712.01480",
  "version": "v1",
  "published": "2017-12-05T05:17:03.000Z",
  "updated": "2017-12-05T05:17:03.000Z",
  "title": "Representations of the general linear Lie algebra on the algebra of Laurent polynomials",
  "authors": [
    "Cheonho Choi",
    "Sangjib Kim",
    "HaeYun Seo"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We investigate the module structures of certain vector spaces of Laurent polynomials and their quotients over the universal enveloping algebra of the general linear Lie algebra. As a consequence, we obtain explicit constructions of certain simple highest weight modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-05T05:17:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B45"
    ],
    "keywords": [
      "general linear lie algebra",
      "laurent polynomials",
      "simple highest weight modules",
      "representations",
      "module structures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}