{
  "id": "1312.4140",
  "version": "v1",
  "published": "2013-12-15T12:12:08.000Z",
  "updated": "2013-12-15T12:12:08.000Z",
  "title": "The Jacobi identity for graded-commutative variational Schouten bracket revisited",
  "authors": [
    "Arthemy V. Kiselev"
  ],
  "comment": "Addendum to arXiv:1312.1262 [math-ph] (proof of Theorem 4.iii) by the same author; 4+iii pages. - Proc. Int. Workshop SQS'13 `Supersymmetry and Quantum Symmetries' (July 29 -- August 3, 2013; JINR Dubna, Russia)",
  "journal": "Physics of Particles and Nuclei Letters, 2014, Vol.11, No.7, pp.1-4",
  "doi": "10.1134/S1547477114070243",
  "categories": [
    "math-ph",
    "hep-th",
    "math.DG",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "This short note contains an explicit proof of the Jacobi identity for variational Schouten bracket in $Z_2$-graded commutative setup. For the reasoning to be rigorous, it refers to the product bundle geometry of iterated variations (see arXiv:1312.1262 [math-ph]); no ad hoc regularizations occur anywhere in this theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-12-15T12:12:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B65",
      "70S05",
      "81S10",
      "17B81",
      "53Z05"
    ],
    "keywords": [
      "graded-commutative variational schouten bracket",
      "jacobi identity",
      "ad hoc regularizations occur",
      "short note contains",
      "product bundle geometry"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Physics of Particles and Nuclei Letters",
      "year": 2014,
      "month": "Dec",
      "volume": 11,
      "number": 7,
      "pages": 950
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1269491,
      "adsabs": "2014PPNL...11..950K"
    }
  }
}