{
  "id": "1612.01076",
  "version": "v1",
  "published": "2016-12-04T06:27:27.000Z",
  "updated": "2016-12-04T06:27:27.000Z",
  "title": "Distinguished representations for SL(n)",
  "authors": [
    "U. K. Anandavardhanan",
    "Dipendra Prasad"
  ],
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "For $E/F$ a quadratic extension of local fields, and $\\pi$ an irreducible admissible generic representation of $SL_n(E)$, we calculate the dimension of $Hom_{SL_n(F)}[\\pi,C]$ and relate it to fibers of the base change map corresponding to base change of representations of $SU_n(F)$ to $SL_n(E)$ as suggested in a recent work of the second author. We also deal with finite fields.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-04T06:27:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50"
    ],
    "keywords": [
      "distinguished representations",
      "local fields",
      "base change map corresponding",
      "irreducible admissible generic representation",
      "finite fields"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}