{
  "id": "0803.3668",
  "version": "v2",
  "published": "2008-03-26T06:42:03.000Z",
  "updated": "2008-04-23T00:10:46.000Z",
  "title": "Categorification of integrable representations of quantum groups",
  "authors": [
    "Hao Zheng"
  ],
  "comment": "35pages, v2: minor revisions, typo fixed",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We categorify the highest weight integrable representations and their tensor products of a symmetric quantum Kac-Moody algebra. As byproducts, we obtain a geometric realization of Lusztig's canonical bases of these representations as well as a new positivity result. The main ingredient in the underlying geometric construction is a class of micro-local perverse sheaves on quiver varieties.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-04-23T00:10:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B37",
      "18F20"
    ],
    "keywords": [
      "quantum groups",
      "categorification",
      "symmetric quantum kac-moody algebra",
      "micro-local perverse sheaves",
      "highest weight integrable representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.3668Z"
    }
  }
}