dorsal/arxiv
View SchemaQuantum current operators (III): Commutative quantum current operators, semi-infinite construction and functional models
| Authors | Jintai Ding, Boris Feigin |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9612009 |
| URL | https://arxiv.org/abs/q-alg/9612009 |
Abstract
We construct a commutative current operator $\bar x^+(z)$ inside $U_q(\hat{\frak sl}(2))$. With this operator and the condition of quantum integrability on the quantum current of $U_q(\hat{\frak sl}(2))$, we derive the quantization of the semi-infinite construction of integrable modules of $\hat{\frak sl}(2)$ with the current operator $e(z)$ of $\hat{\frak sl}(2)$. The quantization of the functional models for $\hat{\frak sl}(2)$ are also given.
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"abstract": "We construct a commutative current operator $\\bar x^+(z)$ inside\n$U_q(\\hat{\\frak sl}(2))$. With this operator and the condition of quantum\nintegrability on the quantum current of $U_q(\\hat{\\frak sl}(2))$, we derive the\nquantization of the semi-infinite construction of integrable modules of\n$\\hat{\\frak sl}(2)$ with the current operator $e(z)$ of $\\hat{\\frak sl}(2)$.\nThe quantization of the functional models for $\\hat{\\frak sl}(2)$ are also\ngiven.",
"arxiv_id": "q-alg/9612009",
"authors": [
"Jintai Ding",
"Boris Feigin"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Quantum current operators (III): Commutative quantum current operators, semi-infinite construction and functional models",
"url": "https://arxiv.org/abs/q-alg/9612009"
},
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"type": "Model",
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