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Kostka-Foulkes polynomials cyclage graphs and charge statistic for the root system $C_{n}$

Cedric lecouvey
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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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Cedric lecouvey. 2003-10-27. Kostka-Foulkes polynomials cyclage graphs and charge statistic for the root system $C_{n}$. https://arxiv.org/abs/math/0310370

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