{
  "annotation_id": "73a83dbf-b5c9-49f7-b6e8-49390999eaae",
  "date_created": "2026-03-02T18:01:24.968000Z",
  "date_modified": "2026-03-02T18:01:24.968000Z",
  "file_hash": "07892adff917a44dc588e4d84a8099ade65858d94fdca71f76d72d184ac350c0",
  "private": false,
  "record": {
    "abstract": "We shall give some criteria for the existence of the Peter-Weyl type\ndecomposition for modified quantum algebra, which is motivated by the fact that\nmodified quantum algebra has commutative two crystal structures. We shall apply\nthe criteria to the crystal base of the level 0 part of the modified quantum\naffine algebra $\\widetilde U_q(\\widehat{sl_2})_0$ and give more precise\ndescription of Peter-Weyl type decomposition.",
    "arxiv_id": "q-alg/9510006",
    "authors": [
      "Toshiki Nakashima"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Crystallized Peter-Weyl type decomposition for level 0 part of modified   quantum algebra $\\widetilde U_q(\\widehat{sl_2})_0$",
    "url": "https://arxiv.org/abs/q-alg/9510006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8dd01f07-7321-456c-a6c2-a2ceac27b074",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}