{
  "id": "1111.6293",
  "version": "v1",
  "published": "2011-11-27T20:42:11.000Z",
  "updated": "2011-11-27T20:42:11.000Z",
  "title": "Fusion procedure for Coxeter groups of type B and complex reflection groups G(m,1,n)",
  "authors": [
    "O. V. Ogievetsky",
    "L. Poulain d'Andecy"
  ],
  "categories": [
    "math.RT",
    "math-ph",
    "math.MP"
  ],
  "abstract": "A complete system of primitive pairwise orthogonal idempotents for the Coxeter groups of type $B$ and, more generally, for the complex reflection groups $G(m,1,n)$ is constructed by a sequence of evaluations of a rational function in several variables with values in the group ring. The evaluations correspond to the eigenvalues of the two arrays of Jucys--Murphy elements.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-11-27T20:42:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "complex reflection groups",
      "coxeter groups",
      "fusion procedure",
      "jucys-murphy elements",
      "rational function"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1111.6293O"
    }
  }
}