{
  "annotation_id": "e03d9a02-575a-497b-a41a-1238100fd79e",
  "date_created": "2026-03-02T18:01:28.813000Z",
  "date_modified": "2026-03-02T18:01:28.813000Z",
  "file_hash": "cafaa3c00fe49e37f920bec1ce31a16ecdf1f74e6d09a04c8c543bee459fea16",
  "private": false,
  "record": {
    "abstract": "We study the restricted form of the qaunatized enveloping algebra of an\nuntwisted affine Lie algebra and prove a triangular decomposition for it. In\nproving the decomposition we prove several new identities in the quantized\nalgebra, one of these show a connection between the quantized algebra and Young\ndiagrams. These identities are all invisible in the non-quantum case of the\nproblem which was considered by Garland in 1978. We then study the\nfinite-dimensional irreducible representations and prove a factorization\ntheorem for such representations.",
    "arxiv_id": "q-alg/9609031",
    "authors": [
      "Vyjayanthi Chari",
      "Andrew Pressley"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Quantum Affine Algebras at Roots of Unity",
    "url": "https://arxiv.org/abs/q-alg/9609031"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "82b142f1-2ee4-46c5-9016-58648846adfc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}