{
  "id": "2003.06805",
  "version": "v1",
  "published": "2020-03-15T11:59:50.000Z",
  "updated": "2020-03-15T11:59:50.000Z",
  "title": "Semi-simplicity of Temperley-Lieb Algebras of type D",
  "authors": [
    "Yanbo Li",
    "Xiaolin Shi"
  ],
  "comment": "21 pages",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "We provide a necessary and sufficient condition for a type D Temperley-Lieb algebra ${\\rm TLD}_n(\\delta)$ being semi-simple by studying branching rule for cell modules. As a byproduct, our result is used to study the so-called forked Temperley-Lieb algebra, which is a quotient algebra of ${\\rm TLD}_n(\\delta)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-15T11:59:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "semi-simplicity",
      "sufficient condition",
      "cell modules",
      "quotient algebra",
      "forked temperley-lieb algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}