{
  "id": "2209.15163",
  "version": "v1",
  "published": "2022-09-30T01:17:43.000Z",
  "updated": "2022-09-30T01:17:43.000Z",
  "title": "An analogue of ladder representations for classical groups",
  "authors": [
    "Hiraku Atobe"
  ],
  "comment": "24 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we introduce a notion of ladder representations for split odd special orthogonal groups and symplectic groups over a non-archimedean local field of characteristic zero. This is a natural class in the admissible dual which contains both strongly positive discrete series representations and irreducible representations with irreducible A-parameters. We compute Jacquet modules and the Aubert duals of ladder representations, and we establish a formula to describing ladder representations in terms of linear combinations of standard modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-09-30T01:17:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ladder representations",
      "classical groups",
      "split odd special orthogonal groups",
      "non-archimedean local field",
      "strongly positive discrete series representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}