{
  "id": "2207.06688",
  "version": "v1",
  "published": "2022-07-14T06:36:12.000Z",
  "updated": "2022-07-14T06:36:12.000Z",
  "title": "Generalized Preservation Principle in Finite Theta Correspondence",
  "authors": [
    "Shu-Yen Pan"
  ],
  "comment": "The results in this paper replace Section 8-10 of old version of arXiv:1906.01158",
  "categories": [
    "math.RT"
  ],
  "abstract": "It is known that irreducible cuspidal characters satisfy the preservation principle in the Howe correspondences of finite reductive dual pairs. In this article, we generalize the preservation principle to any irreducible characters of classical groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-14T06:36:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C33"
    ],
    "keywords": [
      "finite theta correspondence",
      "generalized preservation principle",
      "finite reductive dual pairs",
      "irreducible cuspidal characters satisfy",
      "howe correspondences"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}