{
  "id": "1212.0525",
  "version": "v1",
  "published": "2012-12-03T20:24:19.000Z",
  "updated": "2012-12-03T20:24:19.000Z",
  "title": "Semisimple types for p-adic classical groups",
  "authors": [
    "Michitaka Miyauchi",
    "Shaun Stevens"
  ],
  "comment": "37 pges",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "We construct, for any symplectic, unitary or special orthogonal group over a locally compact nonarchimedean local field of odd residual characteristic, a type for each Bernstein component of the category of smooth representations, using Bushnell--Kutzko's theory of covers. Moreover, for a component corresponding to a cuspidal representation of a maximal Levi subgroup, we prove that the Hecke algebra is either abelian, or a generic Hecke algebra on an infinite dihedral group, with parameters which are, at least in principle, computable via results of Lusztig.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-03T20:24:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50"
    ],
    "keywords": [
      "p-adic classical groups",
      "semisimple types",
      "locally compact nonarchimedean local field",
      "infinite dihedral group",
      "special orthogonal group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.0525M"
    }
  }
}