{
  "id": "2007.15768",
  "version": "v1",
  "published": "2020-07-30T23:08:34.000Z",
  "updated": "2020-07-30T23:08:34.000Z",
  "title": "Decomposition of the Uniform Projection of the Weil Character",
  "authors": [
    "Shu-Yen Pan"
  ],
  "comment": "This work previously appeared under arXiv:1901.00623v1 (and v2), which has been split into two parts. The second part is now available as arXiv:1901.00623v3",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper we obtain a decomposition formula of the uniform projection of the Weil character of a finite reductive dual pair consisting of a symplectic group and an even orthogonal group. This is the first and major step to give an explicit description of the Howe correspondence on unipotent characters confirming a conjecture by Aubert-Michel-Rouquier.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-30T23:08:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C33"
    ],
    "keywords": [
      "weil character",
      "uniform projection",
      "finite reductive dual pair consisting",
      "unipotent characters",
      "decomposition formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}