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

Mathematical Physics 2011-04-05 v1 Combinatorics math.MP Quantum Algebra Representation Theory

Abstract

We derive explicit expressions for the generating series of the fundamental solutions of the ArA_r quantum QQ-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.

Keywords

Cite

@article{arxiv.1104.0339,
  title  = {Quantum $A_r$ Q-system solutions as q-multinomial series},
  author = {Philippe Di Francesco},
  journal= {arXiv preprint arXiv:1104.0339},
  year   = {2011}
}

Comments

17 pages, 10 figures

R2 v1 2026-06-21T17:48:37.971Z