{
  "id": "math-ph/9810006",
  "version": "v1",
  "published": "1998-10-08T08:15:20.000Z",
  "updated": "1998-10-08T08:15:20.000Z",
  "title": "Graded Lie algebras, representation theory, integrable mappings and systems: nonabelian case",
  "authors": [
    "A. N. Leznov"
  ],
  "comment": "LaTeX, 19 pages",
  "doi": "10.1016/S0550-3213(99)80001-7",
  "categories": [
    "math-ph",
    "hep-th",
    "math.MP",
    "nlin.SI",
    "solv-int"
  ],
  "abstract": "The exactly integrable systems connected with semisimple series $A$ for arbitrary grading are presented in explicit form. Their general solutions are expressed in terms of the matrix elements of various fundamental representations of $A_n$ groups. The simplest example of such systems is the generalized Toda chain with the matrices of arbitrary dimensions in each point of the lattice.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-10-08T08:15:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "graded lie algebras",
      "nonabelian case",
      "representation theory",
      "integrable mappings",
      "semisimple series"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nucl. Phys. B"
    },
    "note": {
      "typesetting": "LaTeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}