dorsal/arxiv
View SchemaClassical Limit of the Scaled Elliptic Algebra $A_{\hbar,\eta}(sl_2)$
| Authors | S. Khoroshkin, D. Lebedev, S. Pakuliak, A. Stolin, V. Tolstoy |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9703043 |
| URL | https://arxiv.org/abs/q-alg/9703043 |
Abstract
The classical limit of the scaled elliptic algebra $A_{\hbar,\eta}(sl_2)$ is investigated. The limiting Lie algebra is described in two equivalent ways: as a central extension of the algebra of generalized automorphic $sl_2$ valued functions on a strip and as an extended algebra of decreasing automorphic $sl_2$ valued functions on the real line. A bialgebra structure and an infinite-dimensional representation in the Fock space are studied. The classical limit of elliptic algebra $A_{q,p}(sl_2)$ is also briefly presented.
{
"annotation_id": "f4d0decf-b9de-4702-8741-607aadac07bc",
"date_created": "2026-03-02T18:01:28.012000Z",
"date_modified": "2026-03-02T18:01:28.012000Z",
"file_hash": "8c35912eff3a2d6cd43ef357576664219fabe486fd94f89fde166e6db3e98a14",
"private": false,
"record": {
"abstract": "The classical limit of the scaled elliptic algebra $A_{\\hbar,\\eta}(sl_2)$ is\ninvestigated. The limiting Lie algebra is described in two equivalent ways: as\na central extension of the algebra of generalized automorphic $sl_2$ valued\nfunctions on a strip and as an extended algebra of decreasing automorphic\n$sl_2$ valued functions on the real line. A bialgebra structure and an\ninfinite-dimensional representation in the Fock space are studied. The\nclassical limit of elliptic algebra $A_{q,p}(sl_2)$ is also briefly presented.",
"arxiv_id": "q-alg/9703043",
"authors": [
"S. Khoroshkin",
"D. Lebedev",
"S. Pakuliak",
"A. Stolin",
"V. Tolstoy"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Classical Limit of the Scaled Elliptic Algebra $A_{\\hbar,\\eta}(sl_2)$",
"url": "https://arxiv.org/abs/q-alg/9703043"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "b555c0dc-6668-480a-be3c-d9d362b5d375",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}