{
  "id": "math/0702811",
  "version": "v1",
  "published": "2007-02-27T07:45:32.000Z",
  "updated": "2007-02-27T07:45:32.000Z",
  "title": "Categorification of (induced) cell modules and the rough structure of generalized Verma modules",
  "authors": [
    "Volodymyr Mazorchuk",
    "Catharina Stroppel"
  ],
  "comment": "59 pages",
  "journal": "Adv. Math. 219 (2008), no. 4, 1363--1426.",
  "categories": [
    "math.RT"
  ],
  "abstract": "This paper presents categorifications of (right) cell modules and induced cell modules for Hecke algebras of finite Weyl groups. In type $A$ we show that these categorifications depend only on the isomorphism class of the cell module, not on the cell itself. Our main application is multiplicity formulas for parabolically induced modules over a reductive Lie algebra of type $A$, which finally determines the so-called rough structure of generalized Verma modules. On the way we present several categorification results and give the positive answer to Kostant's problem from \\cite{Jo} in many cases. We also give a general setup of decategorification, precategorification and categorification.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-02-27T07:45:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10"
    ],
    "keywords": [
      "generalized verma modules",
      "rough structure",
      "finite weyl groups",
      "hecke algebras",
      "categorifications depend"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Adv. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 59,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2811M"
    }
  }
}