{
  "id": "2407.08004",
  "version": "v1",
  "published": "2024-07-10T19:18:03.000Z",
  "updated": "2024-07-10T19:18:03.000Z",
  "title": "Schur-Weyl Duality for Toroidal Algebras of Type $A$",
  "authors": [
    "Vyjayanthi Chari",
    "Lauren Grimley",
    "Zongzhu Lin",
    "Chad R. Mangum",
    "Christine Uhl",
    "Evan Wilson"
  ],
  "doi": "10.1080/00927872.2024.2357732",
  "categories": [
    "math.RT"
  ],
  "abstract": "We state and prove an analog of the Schur-Weyl duality for a quotient of the classical $2$-toroidal Lie algebra of type $A$. We then provide a method to extend this duality to the $m$-toroidal case, $m > 2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-10T19:18:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "schur-weyl duality",
      "toroidal algebras",
      "toroidal lie algebra",
      "toroidal case"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Taylor-Francis"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}