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Quantum \(A_r\,Q\)-system solutions as q-multinomial series
The electronic journal of combinatorics, Tome 18 (2011) no. 1
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We derive explicit expressions for the generating series of the fundamental solutions of the $A_r$ quantum $Q$-system of Di Francesco and Kedem [ Non-commutative integrability, paths and quasi-determinants, Adv. in Math. 228(1) (2011) 97–152], expressed in terms of any admissible initial data. These involve products of quantum multinomial coefficients, coded by the initial data structure.
DOI : 10.37236/663
Classification : 05A15, 05A30 
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     author = {Philippe Di Francesco},
     title = {Quantum {\(A_r\,Q\)-system} solutions as q-multinomial series},
     journal = {The electronic journal of combinatorics},
     year = {2011},
     volume = {18},
     number = {1},
     doi = {10.37236/663},
     zbl = {1229.05016},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/663/}
}
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Philippe Di Francesco. Quantum \(A_r\,Q\)-system solutions as q-multinomial series. The electronic journal of combinatorics, Tome 18 (2011) no. 1. doi: 10.37236/663

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