{
  "id": "1403.1700",
  "version": "v1",
  "published": "2014-03-07T09:54:14.000Z",
  "updated": "2014-03-07T09:54:14.000Z",
  "title": "Classical W-algebras in types A, B, C, D and G",
  "authors": [
    "A. I. Molev",
    "E. Ragoucy"
  ],
  "comment": "37 pages",
  "categories": [
    "math.RT",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We produce explicit generators of the classical W-algebras associated with the principal nilpotents in the simple Lie algebras of all classical types and in the exceptional Lie algebra of type $G_2$. The generators are given by determinant formulas in the context of the Poisson vertex algebras. We also show that the images of the W-algebra generators under the Chevalley-type isomorphism coincide with the elements defined via the corresponding Miura transformations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-03-07T09:54:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classical w-algebras",
      "poisson vertex algebras",
      "produce explicit generators",
      "chevalley-type isomorphism coincide",
      "simple lie algebras"
    ],
    "publication": {
      "doi": "10.1007/s00220-014-2239-y",
      "journal": "Communications in Mathematical Physics",
      "year": 2015,
      "month": "Jun",
      "volume": 336,
      "number": 2,
      "pages": 1053
    },
    "note": {
      "typesetting": "TeX",
      "pages": 37,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015CMaPh.336.1053M"
    }
  }
}