{
  "id": "0709.2305",
  "version": "v1",
  "published": "2007-09-14T14:23:27.000Z",
  "updated": "2007-09-14T14:23:27.000Z",
  "title": "The Integrals of Motion for the Deformed W-Algebra $W_{qt}(sl_N^)$ II: Proof of the commutation relations",
  "authors": [
    "T. Kojima",
    "J. Shiraishi"
  ],
  "comment": "Dedicated to Professor Tetsuji Miwa on the occasion on the 60th birthday",
  "doi": "10.1007/s00220-008-0524-3",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We explicitly construct two classes of infinitly many commutative operators in terms of the deformed W-algebra $W_{qt}(sl_N^)$, and give proofs of the commutation relations of these operators. We call one of them local integrals of motion and the other nonlocal one, since they can be regarded as elliptic deformation of local and nonlocal integrals of motion for the $W_N$ algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-14T14:23:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "commutation relations",
      "deformed w-algebra",
      "elliptic deformation",
      "nonlocal integrals",
      "commutative operators"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Communications in Mathematical Physics",
      "year": 2008,
      "month": "Nov",
      "volume": 283,
      "number": 3,
      "pages": 795
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008CMaPh.283..795K"
    }
  }
}