{
  "annotation_id": "9c33c519-db26-4cdb-bb44-536e1ba7d5ec",
  "date_created": "2026-03-02T18:01:28.778000Z",
  "date_modified": "2026-03-02T18:01:28.778000Z",
  "file_hash": "e0aeb397c2cb09e6794b362ce099fe315a62899979346969f9764011fff52598",
  "private": false,
  "record": {
    "abstract": "Quantum groups at roots of unity have the property that their centre is\nenlarged. Polynomial equations relate the standard deformed Casimir operators\nand the new central elements. These relations are important from a physical\npoint of view since they correspond to relations among quantum expectation\nvalues of observables that have to be satisfied on all physical states. In this\npaper, we establish these relations in the case of the quantum Lie superalgebra\nU_q(sl(2|1)). In the course of the argument, we find and use a set of\nrepresentations such that any relation satisfied on all the representations of\nthe set is true in U_q(sl(2|1)). This set is a subset of the set of all the\nfinite dimensional irreducible representations of U_q(sl(2|1)), that we\nclassify and describe explicitly.",
    "arxiv_id": "q-alg/9605015",
    "authors": [
      "B. Abdesselam",
      "D. Arnaudon",
      "M. Bauer"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1088/0305-4470/30/3/012",
    "journal_ref": "J. Phys. A: Math. Gen. 30 (1997) 867-880.",
    "title": "Centre and Representations of U_q(sl(2|1)) at Roots of Unity",
    "url": "https://arxiv.org/abs/q-alg/9605015"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c3fd1f38-65a8-434f-93e6-d87622833073",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}