dorsal/arxiv
View SchemaThe Quantized Knizhnik-Zamolodchikov Equation in Tensor Products of Irreducible sl(2)-Modules
| Authors | E. Mukhin, A. Varchenko |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9709026 |
| URL | https://arxiv.org/abs/q-alg/9709026 |
Abstract
We consider the quantized Knizhnik-Zamolodchikov difference equation (qKZ) with values in a tensor product of irreducible sl(2) modules, the equation defined in terms of rational R-matrices. We solve the equation in terms of multidimensional q-hypergeometric integrals. We identify the space of solutions of the qKZ equation with the tensor product of the corresponding modules over the quantum group $U_qsl(2)$. We compute the monodromy of the qKZ equation in terms of the trigonometric R-matrices.
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"abstract": "We consider the quantized Knizhnik-Zamolodchikov difference equation (qKZ)\nwith values in a tensor product of irreducible sl(2) modules, the equation\ndefined in terms of rational R-matrices. We solve the equation in terms of\nmultidimensional q-hypergeometric integrals. We identify the space of solutions\nof the qKZ equation with the tensor product of the corresponding modules over\nthe quantum group $U_qsl(2)$. We compute the monodromy of the qKZ equation in\nterms of the trigonometric R-matrices.",
"arxiv_id": "q-alg/9709026",
"authors": [
"E. Mukhin",
"A. Varchenko"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "The Quantized Knizhnik-Zamolodchikov Equation in Tensor Products of Irreducible sl(2)-Modules",
"url": "https://arxiv.org/abs/q-alg/9709026"
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