{
  "annotation_id": "f7aaa381-4707-4e07-817e-f80cde7b5407",
  "date_created": "2026-03-02T18:01:25.406000Z",
  "date_modified": "2026-03-02T18:01:25.406000Z",
  "file_hash": "d34770f6462e1e4daa986b08ee2a88ff10081b08a4dbb1585f733c9f20db4238",
  "private": false,
  "record": {
    "abstract": "The vector fields of the quantum Lie algebra are described for the quantum\ngroups $GL_q(N), SL_q(N)$ and $SO_q(N)$ as pseudodifferential operators on the\nlinear quantum spaces covariant under the corresponding quantum group. Their\nexpressions are simple and compact. It is pointed out that these vector fields\nsatisfy certain characteristic polynomial identities. The real forms $SU_q(N)$\nand $SO_q(N,R)$ are discussed in detail.",
    "arxiv_id": "q-alg/9502005",
    "authors": [
      "Chong-Sun Chu",
      "Bruno Zumino"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "title": "Realization of Vector fields for Quantum Groups as Pseudodifferential   Operators on Quantum Spaces",
    "url": "https://arxiv.org/abs/q-alg/9502005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f9c66b7d-b4dd-43f6-9fb0-dc9d071ea9d0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}