{
  "annotation_id": "c07df0b8-fe86-485f-9d8a-4c8d7bf01360",
  "date_created": "2026-03-02T18:01:28.599000Z",
  "date_modified": "2026-03-02T18:01:28.599000Z",
  "file_hash": "3e3c104abf6c6f9690119ce8ba52a74873872b23ef49bcd556dae5472b9b4294",
  "private": false,
  "record": {
    "abstract": "The structure of irreducible representations of (restricted) U_q(sl(3)) at\nroots of unity is understood within the Gelfand--Zetlin basis. The latter needs\na weakened definition for non integrable representations, where the quadratic\nCasimir operator of the quantum subalgebra U_q(sl(2)) of U_q(sl(3)) is not\ncompletely diagonalized. This is necessary in order to take in account the\nindecomposable U_q(sl(2))-modules that appear. The set of redefined (mixed)\nstates has a teepee shape inside the pyramid made with the whole\nrepresentation.",
    "arxiv_id": "q-alg/9610025",
    "authors": [
      "Daniel Arnaudon"
    ],
    "categories": [
      "q-alg",
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "doi": "10.1088/0305-4470/30/10/027",
    "journal_ref": "J. Phys. A: Math. Gen. 30 (1997) 3527",
    "title": "Non integrable representations of the restricted quantum analogue of   sl(3) at roots of 1",
    "url": "https://arxiv.org/abs/q-alg/9610025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c2af9b61-59fa-4419-ada0-fd404fd58679",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}