{
  "id": "1409.7998",
  "version": "v1",
  "published": "2014-09-29T04:53:15.000Z",
  "updated": "2014-09-29T04:53:15.000Z",
  "title": "Dimensions of some locally analytic representations",
  "authors": [
    "Tobias Schmidt",
    "Matthias Strauch"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $G$ be the group of points of a split reductive group over a finite extension of ${\\mathbb Q}_p$. In this paper, we compute the dimensions of certain classes of locally analytic $G$-representations. This includes principal series representations and certain representations coming from homogeneous line bundles on $p$-adic symmetric spaces. As an application, we compute the dimensions in Colmez' unitary principal series of ${\\rm GL}_2({\\mathbb Q}_p)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-29T04:53:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10",
      "17B35",
      "20G25",
      "22E50"
    ],
    "keywords": [
      "locally analytic representations",
      "dimensions",
      "adic symmetric spaces",
      "unitary principal series",
      "principal series representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.7998S"
    }
  }
}