{
  "id": "1509.06878",
  "version": "v1",
  "published": "2015-09-23T08:24:19.000Z",
  "updated": "2015-09-23T08:24:19.000Z",
  "title": "Classical W-algebras for gl_N and associated integrable Hamiltonian hierarchies",
  "authors": [
    "Alberto De Sole",
    "Victor G. Kac",
    "Daniele Valeri"
  ],
  "comment": "47 pages",
  "categories": [
    "math-ph",
    "math.MP",
    "math.RA",
    "math.RT",
    "nlin.SI"
  ],
  "abstract": "We apply the new method for constructing integrable Hamiltonian hierarchies of Lax type equations developed in our previous paper, to show that all W-algebras W(gl_N,f) carry such a hierarchy. As an application, we show that all vector constrained KP hierarchies and their matrix generalizations are obtained from these hierarchies by Dirac reduction, which provides the former with a bi-Poisson structure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-23T08:24:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B69",
      "17B63",
      "17B08",
      "17B80",
      "35Q53",
      "37K10",
      "37K30"
    ],
    "keywords": [
      "associated integrable hamiltonian hierarchies",
      "classical w-algebras",
      "vector constrained kp hierarchies",
      "lax type equations",
      "constructing integrable hamiltonian hierarchies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150906878D"
    }
  }
}