dorsal/arxiv
View SchemaZeros and poles of quantum current operators and the condition of quantum integrability
| Authors | Jintai Ding, Tetsuji Miwa |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9608001 |
| URL | https://arxiv.org/abs/q-alg/9608001 |
Abstract
For the current realization of the affine quantum groups, a simple comultiplication for the quantum current operators was given by Drinfeld. With this comultiplication, we study the zeros and poles of the quantum current operators and present a condition of integrability on the quantum current of $U_q\left(\hat{\frak sl}(2)\right)$, which is a deformation of the corresponding condition for $\hat{\frak sl}(2)$. We also present the results about the zeros and poles of the quantum current operators of $U_q\left(\hat{\frak sl}(n)\right)$.
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"abstract": "For the current realization of the affine quantum groups, a simple\ncomultiplication for the quantum current operators was given by Drinfeld. With\nthis comultiplication, we study the zeros and poles of the quantum current\noperators and present a condition of integrability on the quantum current of\n$U_q\\left(\\hat{\\frak sl}(2)\\right)$, which is a deformation of the\ncorresponding condition for $\\hat{\\frak sl}(2)$. We also present the results\nabout the zeros and poles of the quantum current operators of\n$U_q\\left(\\hat{\\frak sl}(n)\\right)$.",
"arxiv_id": "q-alg/9608001",
"authors": [
"Jintai Ding",
"Tetsuji Miwa"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Zeros and poles of quantum current operators and the condition of quantum integrability",
"url": "https://arxiv.org/abs/q-alg/9608001"
},
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