Kostka-Foulkes polynomials cyclage graphs and charge statistic for the root system Cn
Cedric lecouvey
Abstract
We establish a Morris type recurrence formula for the root system Cn.\ 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 Cn.
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