{
  "id": "math/0612339",
  "version": "v2",
  "published": "2006-12-13T03:45:34.000Z",
  "updated": "2006-12-14T12:57:22.000Z",
  "title": "Lattice representations of Heisenberg groups",
  "authors": [
    "Jae-Hyun Yang"
  ],
  "comment": "16 pages, change of page height",
  "journal": "Math. Ann. 317 (2000), pp. 309-323",
  "categories": [
    "math.RT",
    "math.NT"
  ],
  "abstract": "In this article, we prove that a lattice representation of the Heisenberg group $H_{\\mathbb R}^{(g,h)}$ associated to a lattice $L$ and a positive definite symmetric half-integral matrix M of degree $h$ is unitarily equivalent to the direct sum of $(det 2M)^g$ copies of the Schroedinger representation of $H_{\\mathbb R}^{(g,h)}$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2006-12-14T12:57:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E27",
      "11F27"
    ],
    "keywords": [
      "heisenberg group",
      "lattice representation",
      "positive definite symmetric half-integral matrix",
      "schroedinger representation",
      "direct sum"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....12339Y"
    }
  }
}