{
  "id": "0806.4045",
  "version": "v1",
  "published": "2008-06-25T08:26:53.000Z",
  "updated": "2008-06-25T08:26:53.000Z",
  "title": "Invariant tensors and cellular categories",
  "authors": [
    "Bruce W. Westbury"
  ],
  "comment": "6 pages; to appear in Journal of Algebra",
  "journal": "Journal of Algebra Volume 321, Issue 11, 1 June 2009, Pages 3563-3567",
  "doi": "10.1016/j.jalgebra.2008.07.004",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "Let U be the quantised enveloping algebra associated to a Cartan matrix of finite type. Let W be the tensor product of a finite list of highest weight representations of U. Then the centraliser algebra of W has a basis called the dual canonical basis which gives an integral form. We show that this integral form is cellular by using results due to Lusztig.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-06-25T08:26:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G42"
    ],
    "keywords": [
      "cellular categories",
      "invariant tensors",
      "integral form",
      "highest weight representations",
      "tensor product"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0806.4045W"
    }
  }
}