{
  "id": "0808.2032",
  "version": "v4",
  "published": "2008-08-14T17:25:51.000Z",
  "updated": "2009-01-28T11:40:43.000Z",
  "title": "Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras",
  "authors": [
    "Jonathan Brundan",
    "Alexander Kleshchev"
  ],
  "comment": "32 pages; minor changes to section 6",
  "journal": "Invent. Math. 178 (2009), 451-484.",
  "doi": "10.1007/s00222-009-0204-8",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We construct an explicit isomorphism between blocks of cyclotomic Hecke algebras and (sign-modified) Khovanov-Lauda algebras in type A. These isomorphisms connect the categorification conjecture of Khovanov and Lauda to Ariki's categorification theorem. The Khovanov-Lauda algebras are naturally graded, which allows us to exhibit a non-trivial Z-grading on blocks of cyclotomic Hecke algebras, including symmetric groups in positive characteristic.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2009-01-28T11:40:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C08"
    ],
    "keywords": [
      "cyclotomic hecke algebras",
      "khovanov-lauda algebras",
      "arikis categorification theorem",
      "explicit isomorphism",
      "isomorphisms connect"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Inventiones Mathematicae",
      "year": 2009,
      "month": "Jun",
      "volume": 178,
      "number": 3,
      "pages": 451
    },
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009InMat.178..451B"
    }
  }
}