{
  "id": "0906.4901",
  "version": "v2",
  "published": "2009-06-26T10:53:52.000Z",
  "updated": "2009-09-01T05:35:33.000Z",
  "title": "Lie quasi-states",
  "authors": [
    "Michael Entov",
    "Leonid Polterovich"
  ],
  "comment": "Minor corrections",
  "categories": [
    "math.RT",
    "math.SG"
  ],
  "abstract": "Lie quasi-states on a real Lie algebra are functionals which are linear on any abelian subalgebra. We show that on the symplectic Lie algebra of rank at least 3 there is only one continuous non-linear Lie quasi-state (up to a scalar factor, modulo linear functionals). It is related to the asymptotic Maslov index of paths of symplectic matrices.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-09-01T05:35:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B99",
      "53D12"
    ],
    "keywords": [
      "real lie algebra",
      "symplectic lie algebra",
      "asymptotic maslov index",
      "continuous non-linear lie quasi-state",
      "modulo linear functionals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.4901E"
    }
  }
}