{
  "annotation_id": "620b2a59-b0d0-44af-a227-f4f3f5e4d44d",
  "date_created": "2026-03-02T18:01:27.549000Z",
  "date_modified": "2026-03-02T18:01:27.549000Z",
  "file_hash": "bcdf73c32e94b9c4b7720585ca3a5ef081ed81c9ccccc70d62a86cab3f5db7eb",
  "private": false,
  "record": {
    "abstract": "New generalized Poisson structures are introduced by using suitable\nskew-symmetric contravariant tensors of even order. The corresponding `Jacobi\nidentities\u0027 are provided by conditions on these tensors, which may be\nunderstood as cocycle conditions. As an example, we provide the linear\ngeneralized Poisson structures which can be constructed on the dual spaces of\nsimple Lie algebras.",
    "arxiv_id": "q-alg/9601007",
    "authors": [
      "J. A. de Azcarraga",
      "A. M. Perelomov",
      "J. C. Perez Bueno"
    ],
    "categories": [
      "q-alg",
      "dg-ga",
      "hep-th",
      "math.DG",
      "math.QA"
    ],
    "doi": "10.1088/0305-4470/29/7/001",
    "journal_ref": "J.Phys. A29 (1996) L151-L157",
    "title": "New Generalized Poisson Structures",
    "url": "https://arxiv.org/abs/q-alg/9601007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f455b31b-aaaf-4be5-9220-c0f0bb41a936",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}