{
  "annotation_id": "1db00afe-9fe7-4c00-a9bd-8cd0c9e1b79a",
  "date_created": "2026-03-02T18:01:28.545000Z",
  "date_modified": "2026-03-02T18:01:28.545000Z",
  "file_hash": "88ffc5f986069db1956024bfea09217c34296073b02b9a4c2ffea0031cc27be9",
  "private": false,
  "record": {
    "abstract": "Contractions (and graded contractions) of Lie algebra, Lie bialgebra and Hopf\nalgebra are discussed. It is noticed the fundamental role of E.In{\\\"o}n{\\\"u}\nand E.P.Wigner idea of degenerate transformations. A constructive algorithm for\ndescription of contractions of quantum Cayley-Klein algebras $ so_{z}(n+1; {\\bf\nj}) $ with different choice of the set of primitive operators is suggested. For\nnonsemisimple quantum algebras it gives nonisomorphic Hopf algebras. From\nphysical point of view this algorithm gives the different physical\ninterpretations of primitive operators for mathematically the same\nnonsemisimple quantum algebra. The case of $ so_{z}(3; {\\bf j}) $ is regarded\nin detail.",
    "arxiv_id": "q-alg/9602003",
    "authors": [
      "N. A. Gromov"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "title": "Contraction of Algebraical Structures and Different Couplings of   Cayley-Klein and Hopf Structures",
    "url": "https://arxiv.org/abs/q-alg/9602003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3443a726-9f40-4edc-ae70-dd630ec74512",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}