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A Generalization of the Kostka–Foulkes Polynomials |
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| Authors: | Anatol N. Kirillov Mark Shimozono |
| Affiliation: | (1) Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan;(2) Department of Mathematics, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA |
| 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 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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