{
  "id": "2109.05271",
  "version": "v1",
  "published": "2021-09-11T12:36:13.000Z",
  "updated": "2021-09-11T12:36:13.000Z",
  "title": "Rankin-Selberg integrals for principal series representations of GL(n)",
  "authors": [
    "Dongwen Liu",
    "Feng Su",
    "Binyong Sun"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We prove that the local Rankin--Selberg integrals for principal series representations of the general linear groups agree with certain simple integrals over the Rankin--Selberg subgroups, up to certain constants given by the local gamma factors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-11T12:36:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E46",
      "43A80"
    ],
    "keywords": [
      "principal series representations",
      "general linear groups agree",
      "local rankin-selberg integrals",
      "local gamma factors",
      "simple integrals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}