Universal R-matrix and functional relations
We collect and systematize general definitions and facts on the application of quantum groups to the construction of functional relations in the theory of integrable systems. As an example, we reconsider the case of the quantum group \(U_q(\mathcal L(\mathfrak{sl}_2))\) related to the six-vertex mod...
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| Veröffentlicht in: | arXiv.org 2015-04 |
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| creator | Boos, H Göhmann, F Klümper, A Nirov, Kh S Razumov, A V |
| description | We collect and systematize general definitions and facts on the application of quantum groups to the construction of functional relations in the theory of integrable systems. As an example, we reconsider the case of the quantum group \(U_q(\mathcal L(\mathfrak{sl}_2))\) related to the six-vertex model. We prove the full set of the functional relations in the form independent of the representation of the quantum group in the quantum space and specialize them to the case of the six-vertex model. |
| doi_str_mv | 10.48550/arxiv.1205.1631 |
| format | Article |
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| subjects | Mathematics - Mathematical Physics Modularity Physics - Mathematical Physics Physics - Statistical Mechanics Product design |
| title | Universal R-matrix and functional relations |
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