Quantum $A_r$ Q-system solutions as q-multinomial series

preprint2011arXivOpen access

We derive explicit expressions for the generating series of the fundamental solutions of the $A_r$ quantum $Q$ -system of Ref. [P. Di Francesco and R. Kedem, arXiv:1006.4774 [math-ph]], 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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Quantum $A_r$ Q-system solutions as q-multinomial series

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Quantum ArA_rAr​ Q-system solutions as q-multinomial series

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Quantum $A_r$ Q-system solutions as q-multinomial series