{
  "id": "1004.2108",
  "version": "v3",
  "published": "2010-04-13T05:17:53.000Z",
  "updated": "2010-06-22T14:22:43.000Z",
  "title": "Irreducible representations of the rational Cherednik algebra associated to the Coxeter group H_3",
  "authors": [
    "Martina Balagovic",
    "Arjun Puranik"
  ],
  "comment": "Version 2: a minor error in 5.1 and its consequences in 3.1. and 3.2 corrected. Comments welcome",
  "categories": [
    "math.RT",
    "math.QA"
  ],
  "abstract": "This paper describes irreducible representations in category O of the rational Cherednik algebra H_c(H_3,h) associated to the exceptional Coxeter group H_3 and any complex parameter c. We compute the characters of all these representations explicitly. As a consequence, we classify all the finite dimensional irreducible representations of H_c(H_3,h).",
  "revisions": [
    {
      "version": "v3",
      "updated": "2010-06-22T14:22:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10"
    ],
    "keywords": [
      "rational cherednik algebra",
      "finite dimensional irreducible representations",
      "exceptional coxeter group",
      "complex parameter",
      "characters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1004.2108B"
    }
  }
}