{
  "annotation_id": "56922a79-1c1e-4936-ae44-5edc38dd1887",
  "date_created": "2026-03-02T18:01:27.732000Z",
  "date_modified": "2026-03-02T18:01:27.732000Z",
  "file_hash": "d7b3f2b0a55f8003babd1c6b16ca26feb03cb23038d3a8dbd6e6c2223b84517b",
  "private": false,
  "record": {
    "abstract": "We review the construction of the multiparametric quantum group\n$ISO_{q,r}(N)$ as a projection from $SO_{q,r}(N+2) $ and show that it is a\nbicovariant bimodule over $SO_{q,r}(N)$. The universal enveloping algebra\n$U_{q,r}(iso(N))$, characterized as the Hopf algebra of regular functionals on\n$ISO_{q,r}(N)$, is found as a Hopf subalgebra of $U_{q,r}(so(N+2))$ and is\nshown to be a bicovariant bimodule over $U_{q,r}(so(N))$. An R-matrix\nformulation of $U_{q,r}(iso(N))$ is given and we prove the pairing\n$U_{q,r}(iso(N))\\leftrightarrow ISO_{q,r}(N)$. We analyze the subspaces of\n$U_{q,r}(iso(N))$ that define bicovariant differential calculi on\n$ISO_{q,r}(N)$.",
    "arxiv_id": "q-alg/9705023",
    "authors": [
      "Paolo Aschieri",
      "Leonardo Castellani"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1016/S0393-0440(97)00045-4",
    "journal_ref": "J.Geom.Phys.26:247-271,1998",
    "title": "Universal Enveloping Algebra and Differential Calculi on Orthogonal   q-groups",
    "url": "https://arxiv.org/abs/q-alg/9705023"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "678126f4-fdad-4758-a869-198eb2cfbc2d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}