{
  "id": "hep-th/9502068",
  "version": "v1",
  "published": "1995-02-12T17:22:43.000Z",
  "updated": "1995-02-12T17:22:43.000Z",
  "title": "sl(N) Onsager's Algebra and Integrability",
  "authors": [
    "D. Uglov",
    "I. Ivanov"
  ],
  "doi": "10.1007/BF02189226",
  "categories": [
    "hep-th"
  ],
  "abstract": "We define an $ sl(N) $ analog of Onsager's Algebra through a finite set of relations that generalize the Dolan Grady defining relations for the original Onsager's Algebra. This infinite-dimensional Lie Algebra is shown to be isomorphic to a fixed point subalgebra of $ sl(N) $ Loop Algebra with respect to a certain involution. As the consequence of the generalized Dolan Grady relations a Hamiltonian linear in the generators of $ sl(N) $ Onsager's Algebra is shown to posses an infinite number of mutually commuting integrals of motion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1995-02-12T17:22:43.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integrability",
      "infinite-dimensional lie algebra",
      "dolan grady defining relations",
      "generalized dolan grady relations",
      "original onsagers algebra"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Commun. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 392715
    }
  }
}