{
  "annotation_id": "e130ff5d-c019-490d-b6be-eb9b758ccb62",
  "date_created": "2026-03-02T18:01:20.994000Z",
  "date_modified": "2026-03-02T18:01:20.994000Z",
  "file_hash": "2bc9e9d63173d28064a08deeac5df1548b3ffe112e683471a61b688c0ce70f89",
  "private": false,
  "record": {
    "abstract": "The maximal Abelian subalgebras of the Euclidean e(p,0) and pseudoeuclidean\ne(p,1)Lie algebras are classified into conjugacy classes under the action of\nthe corresponding Lie groups E(p,0) and E(p,1), and also under the conformal\ngroups O(p+1,1) and O(p+1,2), respectively. The results are presented in terms\nof decomposition theorems. For e(p,0) orthogonally indecomposable MASAs exist\nonly for p=1 and p=2. For e(p,1), on the other hand, orthogonally\nindecomposable MASAs exist for all values of p. The results are used to\nconstruct new coordinate systems in which wave equations and Hamilton-Jacobi\nequations allow the separation of variables.",
    "arxiv_id": "physics/9707005",
    "authors": [
      "Zora Thomova",
      "Pavel Winternitz"
    ],
    "categories": [
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/31/7/016",
    "journal_ref": "J. Phys. A 31: 1831-1858 (1998)",
    "title": "Maximal Abelian Subgroups of the Isometry and Conformal Groups of   Euclidean and Minkowski Spaces",
    "url": "https://arxiv.org/abs/physics/9707005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "925fc75e-ce97-421a-b6f4-ae56ae9fb70f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}