{
  "annotation_id": "acb29a82-f149-4eb3-bf58-a62c3807b2c0",
  "date_created": "2026-03-02T18:01:28.352000Z",
  "date_modified": "2026-03-02T18:01:28.352000Z",
  "file_hash": "9e9eea4d8b591234431a5b347b38eea9211438825f6c0abf1e7e96dc800acbe6",
  "private": false,
  "record": {
    "abstract": "Inspired by a result in [Ga], we locate two $ k[q,q^{-1}] $-integer forms of\n$ F_q[SL(n+1)] $, along with a presentation by generators and relations, and\nprove that for $ q=1 $ they specialize to $ U({\\mathfrak{h}}) $, where $\n{\\mathfrak{h}} $ is the Lie bialgebra of the Poisson Lie group $ H $ dual of $\nSL(n+1) $; moreover, we explain the relation with [loc. cit.]. In sight of\nthis, we prove two PBW-like theorems for $ F_q[SL(n+1)] $, both related to the\nclassical PBW theorem for $ U({\\mathfrak{h}}) $.",
    "arxiv_id": "q-alg/9701010",
    "authors": [
      "Fabio Gavarini"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1080/00927879808826240",
    "journal_ref": "Communications in Algebra 26, no. 6 (1998), 1795-1818",
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Quantum function algebras as quantum enveloping algebras",
    "url": "https://arxiv.org/abs/q-alg/9701010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6929d4c5-1692-4d87-a98e-ac968eba0f26",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}