{
  "id": "1310.7193",
  "version": "v4",
  "published": "2013-10-27T13:28:30.000Z",
  "updated": "2014-10-02T09:11:18.000Z",
  "title": "Spectral correspondences for affine Hecke algebras",
  "authors": [
    "Eric Opdam"
  ],
  "comment": "36 pages; We included the introduction of a partial ordering of normalized affine Hecke algebras",
  "categories": [
    "math.RT"
  ],
  "abstract": "We introduce the notion of spectral transfer morphisms between normalized affine Hecke algebras, and show that such morphisms induce spectral measure preserving correspondences on the level of the tempered spectra of the affine Hecke algebras involved. We define a partial ordering on the set of isomorphism classes of normalized affine Hecke algebras, which plays an important role for the Langlands parameters of Lusztig's unipotent representations.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-02-22T10:21:38.000Z",
      "journal": null,
      "doi": null
    },
    {
      "version": "v4",
      "updated": "2014-10-02T09:11:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C08",
      "22D25",
      "43A30"
    ],
    "keywords": [
      "spectral correspondences",
      "normalized affine hecke algebras",
      "induce spectral measure preserving correspondences",
      "morphisms induce spectral measure preserving",
      "spectral transfer morphisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.7193O"
    }
  }
}