dorsal/arxiv
View SchemaElliptic algebra $A_{q,p}(\hat{sl_2})$ in the scaling limit
| Authors | S. Khoroshkin, D. Lebedev, S. Pakuliak |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9702002 |
| URL | https://arxiv.org/abs/q-alg/9702002 |
| DOI | 10.1007/s002200050254 |
Abstract
The scaling limit $A_{\hbar,\eta}(\hat{sl_2})$ of the elliptic algebra $A_{q,p}(\hat{sl_2})$ is investigated. The limiting algebra is defined in terms of a continuous family of generators being Fourier harmonics of Gauss coordinates of the $L$-operator. Ding-Frenkel isomorphism between $L$-operator's and current descriptions of the algebra $A_{\hbar,\eta}(\hat{sl_2})$ is established and is identified with the Riemann problem on a strip. The representations, coalgebraic structure and intertwining operators of the algebra are studied.
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"abstract": "The scaling limit $A_{\\hbar,\\eta}(\\hat{sl_2})$ of the elliptic algebra\n$A_{q,p}(\\hat{sl_2})$ is investigated. The limiting algebra is defined in terms\nof a continuous family of generators being Fourier harmonics of Gauss\ncoordinates of the $L$-operator. Ding-Frenkel isomorphism between\n$L$-operator\u0027s and current descriptions of the algebra\n$A_{\\hbar,\\eta}(\\hat{sl_2})$ is established and is identified with the Riemann\nproblem on a strip. The representations, coalgebraic structure and intertwining\noperators of the algebra are studied.",
"arxiv_id": "q-alg/9702002",
"authors": [
"S. Khoroshkin",
"D. Lebedev",
"S. Pakuliak"
],
"categories": [
"q-alg",
"funct-an",
"hep-th",
"math.FA",
"math.QA"
],
"doi": "10.1007/s002200050254",
"title": "Elliptic algebra $A_{q,p}(\\hat{sl_2})$ in the scaling limit",
"url": "https://arxiv.org/abs/q-alg/9702002"
},
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