{
  "id": "math/0505416",
  "version": "v2",
  "published": "2005-05-19T14:00:39.000Z",
  "updated": "2005-11-24T15:38:20.000Z",
  "title": "Rational Cherednik algebras and diagonal coinvariants of G(m,p,n)",
  "authors": [
    "Richard Vale"
  ],
  "comment": "18 pages. Main result substantially extended",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We construct a quotient ring of the ring of diagonal coinvariants of the complex reflection group $W=G(m,p,n)$ and determine its graded character. This generalises a result of Gordon for Coxeter groups. The proof uses a study of category $\\cO$ for the rational Cherednik algebra of $W$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-11-24T15:38:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rational cherednik algebra",
      "diagonal coinvariants",
      "complex reflection group",
      "coxeter groups",
      "graded character"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......5416V"
    }
  }
}