{
  "id": "1105.4926",
  "version": "v1",
  "published": "2011-05-25T04:03:42.000Z",
  "updated": "2011-05-25T04:03:42.000Z",
  "title": "Generic Representation Theory of the Heisenberg Group",
  "authors": [
    "Michael Crumley"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper we extend a result for representations of the Additive group $G_a$ given in [3] to the Heisenberg group $H_1$. Namely, if $p$ is greater than 2d then all $d$-dimensional characteristic $p$ representations for $H_1$ can be factored into commuting products of representations, with each factor arising from a representation of the Lie algebra of $H_1$, one for each of the the representation's Frobenius layers. In this sense, for a fixed dimension and large enough $p$, all representations for $H_1$ look generically like representations for direct powers of it over a field of characteristic zero. The reader may consult chapter 13 of [1] for a fuller account of what follows.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-05-25T04:03:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generic representation theory",
      "heisenberg group",
      "representations frobenius layers",
      "fuller account",
      "lie algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1105.4926C"
    }
  }
}