{
  "id": "math/0105053",
  "version": "v1",
  "published": "2001-05-08T09:36:23.000Z",
  "updated": "2001-05-08T09:36:23.000Z",
  "title": "Green functions associated to complex reflection groups, II",
  "authors": [
    "Toshiaki Shoji"
  ],
  "comment": "33pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "In our previous paper, Green functions associated to complex reflection groups G(e,1,n) were discussed. It involved a combinatorial approach to the Green functions of classical groups of type B_n or C_n. In this paper, we introduce Green functions associated to complex reflection groups G(e,p,n). We define Schur functions, Hall-Littlewood functions associated to G(e,p,n), and show that our Green functions are obtained as a transition matrix between those two kinds of symmetric functions. As a special case, it gives a combinatorial treatmnet of Green functions of type D_n.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-05-08T09:36:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G40",
      "20C30"
    ],
    "keywords": [
      "complex reflection groups",
      "green functions",
      "define schur functions",
      "combinatorial approach",
      "combinatorial treatmnet"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001phco.conf..281S"
    }
  }
}