Quantum A_r Q-system solutions as q-multinomial series

2011/04/02 by Di Francesco, Philippe
#Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1104.0339

Abstract

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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