{
  "annotation_id": "2e1760dc-9880-46ea-ac80-40f26e256a39",
  "date_created": "2026-03-02T18:01:28.410000Z",
  "date_modified": "2026-03-02T18:01:28.410000Z",
  "file_hash": "a0cf0887a5987a23750c792d42463afbc83cbb9a3f8cce25cf03a0f5bf136ffa",
  "private": false,
  "record": {
    "abstract": "The main aim of this paper is to give classes of irreducible infinite\ndimensional representations and of irreducible $*$-representations of the\nq-deformed algebra $U\u0027_q(so_{2,2})$ which is a real form of the non-standard\ndeformation $U\u0027_q(so_4)$ of the universal enveloping algebra $U(so(4,C))$.\nThese representations are described by two complex parameters and are obtained\nby \"analytical continuation\" of the irreducible finite dimensional\nrepresentations of the algebra $U\u0027_q(so_4)$ in the basis corresponding to the\nreduction from $U\u0027_q(so_4)$ to $U(so_2\\oplus so_2)$.",
    "arxiv_id": "q-alg/9709035",
    "authors": [
      "A. U. Klimyk"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Representations of the q-deformed algebra $U\u0027_q(so_{2,2})$",
    "url": "https://arxiv.org/abs/q-alg/9709035"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "95ad9295-de5b-4b29-b7ab-003cac2b4dd2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}