Abstract
We 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 .
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Lecouvey, C. Kostka-Foulkes Polynomials Cyclage Graphs and Charge Statistic for the Root System C n . J Algebr Comb 21, 203–240 (2005). https://doi.org/10.1007/s10801-005-6909-x
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DOI: https://doi.org/10.1007/s10801-005-6909-x