{
  "annotation_id": "fd1f86cc-5c7a-4079-ac00-075d0b8547aa",
  "date_created": "2026-03-02T18:01:28.527000Z",
  "date_modified": "2026-03-02T18:01:28.527000Z",
  "file_hash": "59aadf6ebf5e40f0e7037c16b4ed4affd9f58279a060528a47581851e0f36b04",
  "private": false,
  "record": {
    "abstract": "A class of transformations of $R_q$-matrices is introduced such that the\n$q\\to 1$ limit gives explicit nonstandard $R_{h}$-matrices. The transformation\nmatrix is singular itself at $q\\to 1$ limit. For the transformed matrix, the\nsingularities, however, cancel yielding a well-defined construction. Our method\ncan be implemented systematically for R-matrices of all dimensions and not only\nfor $sl(2)$ but also for algebras of higher dimensions. Explicit constructions\nare presented starting with ${\\cal U}_q(sl(2))$ and ${\\cal U}_q(sl(3))$, while\nchoosing $R_q$ for (fund. rep.)$\\otimes$(arbitrary irrep.). The treatment for\nthe general case and various perspectives are indicated. Our method yields\nnonstandard deformations along with a nonlinear map of the $h$-Borel subalgebra\non the corresponding classical Borel subalgebra. For ${\\cal U}_h(sl(2))$ this\nmap is extended to the whole algebra and compared with another one proposed by\nus previously.",
    "arxiv_id": "q-alg/9706033",
    "authors": [
      "B. Abdesselam",
      "A. Chakrabarti",
      "R. Chakrabarti"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1142/S021773239800084X",
    "title": "General Construction of Nonstandard $R_h$-matrices as Contraction Limits   of $R_{q}$-matrices",
    "url": "https://arxiv.org/abs/q-alg/9706033"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7bf12bc5-0a3a-44a6-82c7-d7765ed7562a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}