{
  "id": "1310.4467",
  "version": "v1",
  "published": "2013-10-16T18:08:40.000Z",
  "updated": "2013-10-16T18:08:40.000Z",
  "title": "Affine Cellularity of Khovanov-Lauda-Rouquier Algebras of Finite Types",
  "authors": [
    "Alexander Kleshchev",
    "Joseph Loubert"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We prove that the Khovanov-Lauda-Rouquier algebras $R_\\alpha$ of finite type are (graded) affine cellular in the sense of Koenig and Xi. In fact, we establish a stronger property, namely that the affine cell ideals in $R_\\alpha$ are generated by idempotents. This in particular implies the (known) result that the global dimension of $R_\\alpha$ is finite.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-16T18:08:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "khovanov-lauda-rouquier algebras",
      "finite type",
      "affine cellularity",
      "affine cell ideals",
      "stronger property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.4467K"
    }
  }
}