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A generalization of the Kostka-Foulkes polynomials

Anatol N. Kirillov·Mark Shimozono
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Abstract

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 Poincare polynomials of isotypic components of certain graded GL(n)-modules supported in a nilpotent conjugacy class closure in gl(n).

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BibTeXRIS

Anatol N. Kirillov, Mark Shimozono. 1998-03-14. A generalization of the Kostka-Foulkes polynomials. https://arxiv.org/abs/math/9803062

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