{
  "id": "1605.03493",
  "version": "v1",
  "published": "2016-05-11T16:03:40.000Z",
  "updated": "2016-05-11T16:03:40.000Z",
  "title": "Cocenters and representations of pro-$p$ Hecke algebras",
  "authors": [
    "Xuhua He",
    "Sian Nie"
  ],
  "comment": "26 pages. arXiv admin note: text overlap with arXiv:1502.02184",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we study the relation between the cocenter and the representations of an affine pro-$p$ Hecke algebra. As a consequence, we obtain a new criterion on the supersingular representation: a (virtual) representation is supersingular if and only if its character vanishes on the non-supersingular part of the cocenter.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-11T16:03:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C08",
      "20C20",
      "22E50"
    ],
    "keywords": [
      "hecke algebra",
      "non-supersingular part",
      "character vanishes",
      "supersingular representation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 26,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}