{
  "id": "1003.3407",
  "version": "v2",
  "published": "2010-03-17T17:02:53.000Z",
  "updated": "2010-07-11T19:34:23.000Z",
  "title": "Representation theory of the rational Cherednik algebras of type Z/lZ via microlocal analysis",
  "authors": [
    "Toshiro Kuwabara"
  ],
  "comment": "17 pages, AMSLaTeX with XYpic. Revised: the sign of parameters are modified",
  "categories": [
    "math.RT",
    "math.AG",
    "math.QA"
  ],
  "abstract": "Based on the methods developed in [Kashiwara-Rouquier], we consider microlocalization of the rational Cherednik algebra of type $\\Z/l\\Z$. Our goal is to construct the irreducible modules and standard modules of the rational Cherednik algebra by using the microlocalization. As a consequence, we obtain the sheaves of microlocal system corresponding to holonomic systems with regular singularities.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-07-11T19:34:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53D55",
      "14F10",
      "16G99"
    ],
    "keywords": [
      "rational cherednik algebra",
      "type z/lz",
      "microlocal analysis",
      "representation theory",
      "microlocalization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.3407K"
    }
  }
}