{
  "id": "1505.07891",
  "version": "v1",
  "published": "2015-05-29T00:24:49.000Z",
  "updated": "2015-05-29T00:24:49.000Z",
  "title": "The polynomial representation of the type $A_{n - 1}$ rational Cherednik algebra in characteristic $p \\mid n$",
  "authors": [
    "Sheela Devadas",
    "Yi Sun"
  ],
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "We study the polynomial representation of the rational Cherednik algebra of type $A_{n-1}$ with generic parameter in characteristic $p$ for $p \\mid n$. We give explicit formulas for generators for the maximal proper graded submodule, show that they cut out a complete intersection, and thus compute the Hilbert series of the irreducible quotient. Our methods are motivated by taking characteristic $p$ analogues of existing characteristic $0$ results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-05-29T00:24:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "rational cherednik algebra",
      "polynomial representation",
      "characteristic",
      "maximal proper graded submodule",
      "complete intersection"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150507891D"
    }
  }
}