Kostka-Foulkes polynomials cyclage graphs and charge statistic for the root system $C

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68961We establish a Morris type recurrence formula for the root system $C_{n}$.\ Next we introduce cyclage graphs for the corresponding Kashiwara-Nakashima's tableaux and use them to define a charge statistic. Finally we conjecture that this charge may be used to compute the Kostka-Foulkes polynomials for type $C_{n}.$CombinatoricsQuantum AlgebraKostka-Foulkes polynomials cyclage graphs and charge statistic for the root system $C_{n}$text