dorsal/arxiv
View SchemaIrreducible Representations of Jordanian Quantum Algebra ${\cal U}_h(sl(2))$ Via a Nonlinear Map
| Authors | B. Abdesselam, A. Chakrabarti, R. Chakrabarti |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9606014 |
| URL | https://arxiv.org/abs/q-alg/9606014 |
| DOI | 10.1142/S0217732396002861 |
| Journal | Mod. Phys. Lett. A, Vol. 11 No. 36 (1996) 2883-2891 |
Abstract
The generators of the Jordanian quantum algebra ${\cal U}_h(sl(2))$ are expressed as nonlinear invertible functions of the classical $sl(2)$ generators. This permits immediate explicit construction of the finite dimensional irreducible representations of the algebra ${\cal U}_h(sl(2))$. Using this construction, new finite dimensional solutions of the Yang-Baxter equation may be obtained.
{
"annotation_id": "f63a555b-023e-45ea-8fb2-e5cdde746849",
"date_created": "2026-03-02T18:01:27.606000Z",
"date_modified": "2026-03-02T18:01:27.606000Z",
"file_hash": "28f2898ac3921cfaf07e2f9eb4f73013e088d2da9cbc41cc5198795ab78c31e5",
"private": false,
"record": {
"abstract": "The generators of the Jordanian quantum algebra ${\\cal U}_h(sl(2))$ are\nexpressed as nonlinear invertible functions of the classical $sl(2)$\ngenerators. This permits immediate explicit construction of the finite\ndimensional irreducible representations of the algebra ${\\cal U}_h(sl(2))$.\nUsing this construction, new finite dimensional solutions of the Yang-Baxter\nequation may be obtained.",
"arxiv_id": "q-alg/9606014",
"authors": [
"B. Abdesselam",
"A. Chakrabarti",
"R. Chakrabarti"
],
"categories": [
"q-alg",
"math.QA"
],
"doi": "10.1142/S0217732396002861",
"journal_ref": "Mod. Phys. Lett. A, Vol. 11 No. 36 (1996) 2883-2891",
"title": "Irreducible Representations of Jordanian Quantum Algebra ${\\cal U}_h(sl(2))$ Via a Nonlinear Map",
"url": "https://arxiv.org/abs/q-alg/9606014"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "8c8e1adc-a1a3-4f6f-9971-3d7f7fe1c857",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}