{
  "annotation_id": "18819566-c1f5-46ac-a57d-dc5c4da92851",
  "date_created": "2026-03-02T18:01:28.642000Z",
  "date_modified": "2026-03-02T18:01:28.642000Z",
  "file_hash": "f7e9b5d4037d2a2d617b647d767b57858dfe7ce8082f295497be54ac4794324a",
  "private": false,
  "record": {
    "abstract": "Let $ G^\\tau $ be a connected simply connected semisimple algebraic group,\nendowed with generalized Sklyanin-Drinfel\u0027d structure of Poisson group, let $\nH^\\tau $ be its dual Poisson group. By means of quantum double construction and\ndualization via formal Hopf algebras, we construct new quantum groups $\nU_{q,\\varphi}^M(\\frak{h}) $ --- dual of $ U_{q,\\varphi}^{M\u0027}(\\frak{g}) $ ---\nwhich yield infinitesimal quantization of $ H^\\tau $ and $ G^\\tau \\, $, we\nstudy their specializations at roots of 1 (in particular, their classical\nlimits), thus discovering new quantum Frobenius morphisms. The whole\ndescription dualize for $ H^\\tau $ what was known for $ G^\\tau $, completing\nthe quantization of the pair $ (G^\\tau,H^\\tau) $.",
    "arxiv_id": "q-alg/9511022",
    "authors": [
      "Fabio Gavarini"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.2140/pjm.1998.186.217",
    "journal_ref": "Pacific Journal of Mathematics 186 (1998), no. 2, 217-266",
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Quantization of Poisson Groups",
    "url": "https://arxiv.org/abs/q-alg/9511022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "db6c5bdb-9fd3-46bb-b4a7-fc14fe9062dd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}