Geodesic
A generalization of the Kostka-Foulkes polynomials
Journal of Algebraic Combinatorics, Tome 15 (2002) no. 1, pp. 27-69.

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

Summary: Combinatorial objects called rigged configurations give rise to $q$-analogues of certain Littlewood-Richardson coefficients. The Kostka-Foulkes polynomials and two-column Macdonald-Kostka polynomials occur as special cases. Conjecturally these polynomials coincide with the Poincaré polynomials of isotypic components of certain graded $GL( n)$-modules supported in a nilpotent conjugacy class closure in $gl( n)$.
Keywords: generalized Kostka polynomials, rigged configurations, littewood-Richardson tableaux, catabolizable tableaux 
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     title = {A generalization of the {Kostka-Foulkes} polynomials},
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Kirillov, Anatol N.; Shimozono, Mark. A generalization of the Kostka-Foulkes polynomials. Journal of Algebraic Combinatorics, Tome 15 (2002) no. 1, pp. 27-69. http://geodesic.mathdoc.fr/item/JAC_2002__15_1_a1/