{
  "id": "1704.05575",
  "version": "v1",
  "published": "2017-04-19T01:24:07.000Z",
  "updated": "2017-04-19T01:24:07.000Z",
  "title": "Principal series for general linear groups over finite commutative rings",
  "authors": [
    "Tyrone Crisp",
    "Ehud Meir",
    "Uri Onn"
  ],
  "comment": "10 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We construct, for any finite commutative ring $R$, a family of representations of the general linear group $\\mathrm{GL}_n(R)$ whose intertwining properties mirror those of the principal series for $\\mathrm{GL}_n$ over a finite field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-04-19T01:24:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G05",
      "20C33",
      "20C15",
      "20C05"
    ],
    "keywords": [
      "general linear group",
      "finite commutative ring",
      "principal series",
      "intertwining properties mirror",
      "finite field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}