{
  "annotation_id": "69f92404-144d-4bc3-81f4-22784bf8add4",
  "date_created": "2026-03-02T18:01:28.076000Z",
  "date_modified": "2026-03-02T18:01:28.076000Z",
  "file_hash": "d191241c136275aa4ef9ce0cc5aa816471d99fde5d093415d2af1a37ad61667d",
  "private": false,
  "record": {
    "abstract": "A spider is an axiomatization of the representation theory of a group,\nquantum group, Lie algebra, or other group or group-like object. We define\ncertain combinatorial spiders by generators and relations that are isomorphic\nto the representation theories of the three rank two simple Lie algebras,\nnamely A2, B2, and G2. They generalize the widely-used Temperley-Lieb spider\nfor A1. Among other things, they yield bases for invariant spaces which are\nprobably related to Lusztig\u0027s canonical bases, and they are useful for\ncomputing quantities such as generalized 6j-symbols and quantum link\ninvariants.",
    "arxiv_id": "q-alg/9712003",
    "authors": [
      "Greg Kuperberg"
    ],
    "categories": [
      "q-alg",
      "math.CO",
      "math.QA"
    ],
    "doi": "10.1007/BF02101184",
    "journal_ref": "Comm. Math. Phys. 180(1):109-151, 1996",
    "title": "Spiders for rank 2 Lie algebras",
    "url": "https://arxiv.org/abs/q-alg/9712003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "13653011-0500-40ed-8116-688a8661f5d5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}