Geodesic
Kostka-Foulkes polynomials cyclage graphs and charge statistic for the root system $C_n$
Journal of Algebraic Combinatorics, Tome 21 (2005) no. 2, pp. 203-240.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We establish a Morris type recurrence formula for the root system $C _{ n}$. Next we introduce cyclage graphs for the corresponding Kashiwara-Nakashima $rsquo$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 $C _{ n}$.
Keywords: keywords crystal graphs, cyclage graphs, Kostka-foulkes polynomials 
@article{JAC_2005__21_2_a0,
     author = {Lecouvey, C\'edric},
     title = {Kostka-Foulkes polynomials cyclage graphs and charge statistic for the root system $C_n$},
     journal = {Journal of Algebraic Combinatorics},
     pages = {203--240},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2005__21_2_a0/}
}
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Lecouvey, Cédric. Kostka-Foulkes polynomials cyclage graphs and charge statistic for the root system $C_n$. Journal of Algebraic Combinatorics, Tome 21 (2005) no. 2, pp. 203-240. http://geodesic.mathdoc.fr/item/JAC_2005__21_2_a0/