{
  "id": "0808.1664",
  "version": "v1",
  "published": "2008-08-12T13:48:06.000Z",
  "updated": "2008-08-12T13:48:06.000Z",
  "title": "The Weil Representation in Characteristic Two",
  "authors": [
    "Shamgar Gurevich",
    "Ronny Hadani"
  ],
  "comment": "This paper was submitted for publication May 1, 2008",
  "categories": [
    "math.RT",
    "math-ph",
    "math.AG",
    "math.CT",
    "math.GR",
    "math.MP",
    "math.NT",
    "math.QA",
    "math.SG",
    "quant-ph"
  ],
  "abstract": "In this paper we construct a new variant of the Weil representation, associated with a symplectic vector space V defined over a finite field of characteristic two. Our variant is a representation of a bigger group than that of Weil. In the course, we develop the formalism of canonical vector spaces, which enables us to realize the bigger symmetry group and the representation in a transparent manner.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-08-12T13:48:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weil representation",
      "characteristic",
      "symplectic vector space",
      "bigger symmetry group",
      "transparent manner",
      "canonical model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0808.1664G"
    }
  }
}