{
  "id": "0705.2630",
  "version": "v3",
  "published": "2007-05-18T09:59:00.000Z",
  "updated": "2007-06-09T08:38:51.000Z",
  "title": "A geometric categorification of tensor products of $U_q(sl_2)$-modules",
  "authors": [
    "Hao Zheng"
  ],
  "comment": "44pages, made up some mistakes in the proof of Theorem 4.2.4",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We give a purely geometric categorification of tensor products of finite-dimensional simple $U_q(sl_2)$-modules and $R$-matrices on them. The work is developed in the framework of category of perverse sheaves and the categorification theorems are understood as consequences of Deligne's theory of weights.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2007-06-09T08:38:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B37",
      "18F20",
      "14M15"
    ],
    "keywords": [
      "tensor products",
      "finite-dimensional simple",
      "delignes theory",
      "perverse sheaves",
      "categorification theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0705.2630Z"
    }
  }
}