{
  "id": "1503.06513",
  "version": "v1",
  "published": "2015-03-23T02:47:04.000Z",
  "updated": "2015-03-23T02:47:04.000Z",
  "title": "Local Weyl modules and cyclicity of tensor products for Yangians of $G_2$",
  "authors": [
    "Yilan Tan"
  ],
  "comment": "12 pages",
  "doi": "10.1007/s10468-015-9532-0",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $\\mathfrak{g}$ be the exceptional complex simple Lie algebra of type $G_2$. We provide a concrete cyclicity condition for the tensor product of fundamental representations of the Yangian $Y(\\mathfrak{g})$. Using this condition, we show that every local Weyl module is isomorphic to an ordered tensor product of fundamental representations of $Y(\\mathfrak{g})$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-23T02:47:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G42",
      "81R50"
    ],
    "keywords": [
      "local weyl module",
      "tensor product",
      "exceptional complex simple lie algebra",
      "fundamental representations",
      "concrete cyclicity condition"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}