A Meinardus Theorem with Multiple Singularities |
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Authors: | Boris?L?Granovsky Email author" target="_blank">Dudley?StarkEmail author |
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Institution: | (1) School of Mathematical Sciences, Nankai University, Tianjin, 300071, P. R. China;(2) Department of Mathematical Sciences, Tsinghua University, Beijing, 100084, P. R. China |
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Abstract: | We solve the quantum version of the A
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T-system by use of quantum networks. The system is interpreted as a particular set of mutations of a suitable (infinite-rank)
quantum cluster algebra, and Laurent positivity follows from our solution. As an application we re-derive the corresponding
quantum network solution to the quantum A
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Q-system and generalize it to the fully non-commutative case. We give the relation between the quantum T-system and the quantum lattice Liouville equation, which is the quantized Y-system. |
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Keywords: | |
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