{
  "annotation_id": "22ed3df2-3746-4b39-94e7-152eef4adbee",
  "date_created": "2026-03-02T18:01:24.717000Z",
  "date_modified": "2026-03-02T18:01:24.717000Z",
  "file_hash": "4657f711a163b5311f5c2a3f64b833ecc9662e22429c5cacd7a757975d828803",
  "private": false,
  "record": {
    "abstract": "The Gauss decompositions of the quantum groups, related to classical Lie\ngroups and supergroups are considered by the elementary algebraic and\n$R$-matrix methods. The commutation relations between new basis generators\n(which are introduced by the decomposition) are described in some details. It\nis shown that the reduction of the independent generator number in the new\nbasis to the dimension of related classical (super) group is possible. The\nclassical expression for (super) determinant through the Gauss decomposition\ngenerators is not changed in the deformed case. The symplectic quantum group\n$Sp_q(2)$ and supergroups $GL_q(1|1), GL_q(2|1)$ are considered as examples.",
    "arxiv_id": "q-alg/9505001",
    "authors": [
      "E. V. Damaskinsky",
      "P. P. Kulish",
      "M. A. Sokolov"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Gauss Decomposition for Quantum Groups and Supergroups",
    "url": "https://arxiv.org/abs/q-alg/9505001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d75b19b2-a32b-4a97-a3bb-9c9890464bf6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}