Quantum \(A_r\,Q\)-system solutions as q-multinomial series (Q640431)
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| Language | Label | Description | Also known as |
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| English | Quantum \(A_r\,Q\)-system solutions as q-multinomial series |
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Quantum \(A_r\,Q\)-system solutions as q-multinomial series (English)
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18 October 2011
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Summary: We derive explicit expressions for the generating series of the fundamental solutions of the \(A_r\) quantum \(Q\)-system of \textit{P. Di Francesco} and \textit{R. Kedem} [``Non-commutative integrability, paths and quasi-determinants'', Adv. Math. 228, No.\,1, 97--152 (2011; Zbl 1252.37069)], expressed in terms of any admissible initial data. These involve products of quantum multinomial coefficients, coded by the initial data structure.
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