{
  "id": "1801.03232",
  "version": "v1",
  "published": "2018-01-10T03:47:37.000Z",
  "updated": "2018-01-10T03:47:37.000Z",
  "title": "$U(\\fh)$-free modules over the Block algebra $\\BB(q)$",
  "authors": [
    "Xuewen Liu",
    "Xiangqian Guo"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we construct a new class of modules over the Block algebra $\\BB(q)$, where $q$ is a nonzero complex number. We determined the irreducibilities of these modules and the isomorphisms among them.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-01-10T03:47:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "block algebra",
      "free modules",
      "nonzero complex number",
      "isomorphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}