{
  "id": "math/0607630",
  "version": "v1",
  "published": "2006-07-25T13:30:32.000Z",
  "updated": "2006-07-25T13:30:32.000Z",
  "title": "A categorification of integral Specht modules",
  "authors": [
    "Mikhail Khovanov",
    "Volodymyr Mazorchuk",
    "Catharina Stroppel"
  ],
  "journal": "Proc. AMS 136 (2008), 1163-1169.",
  "categories": [
    "math.RT"
  ],
  "abstract": "We suggest a simple definition for categorification of modules over rings and illustrate it by categorifying integral Specht modules over the symmetric group and its Hecke algebra via the action of translation functors on some subcategories of category $\\mathcal{O}$ for the Lie algebra $\\mathfrak{sl}_n(\\mathbb{C})$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-07-25T13:30:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "05E10",
      "20C08"
    ],
    "keywords": [
      "categorification",
      "categorifying integral specht modules",
      "simple definition",
      "lie algebra",
      "translation functors"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Proc. Amer. Math. Soc."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......7630K"
    }
  }
}