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

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

2011-04-02

arxiv.org/abs/1104.0339v1

Physics

Mathematical Physics

17 pages, 10 figures

Scientific paper

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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