{
  "annotation_id": "e6060423-ea34-4457-8622-dfdf0f001c6e",
  "date_created": "2026-03-02T18:01:24.722000Z",
  "date_modified": "2026-03-02T18:01:24.722000Z",
  "file_hash": "1536307dfaf525d0f5f0c7b007215a03edb53e9d02b0eaa2b5ddd92c57750581",
  "private": false,
  "record": {
    "abstract": "Invariant integrals of functions and forms over $q$ - deformed Euclidean\nspace and spheres in $N$ dimensions are defined and shown to be positive\ndefinite, compatible with the star - structure and to satisfy a cyclic property\ninvolving the $D$ - matrix of $SO_q(N)$. The definition is more general than\nthe Gaussian integral known so far. Stokes theorem is proved with and without\nspherical boundary terms, as well as on the sphere.",
    "arxiv_id": "q-alg/9506020",
    "authors": [
      "Harold Steinacker"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1063/1.531658",
    "title": "Integration on quantum Euclidean space and sphere in $N$ dimensions",
    "url": "https://arxiv.org/abs/q-alg/9506020"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "46a2b117-9bbb-4a41-8bb9-dfd22f593a1b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}