A generalization of the Kostka-Foulkes polynomials
Quantum Algebra
2007-05-23 v1
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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Cite
@article{arxiv.math/9803062,
title = {A generalization of the Kostka-Foulkes polynomials},
author = {Anatol N. Kirillov and Mark Shimozono},
journal= {arXiv preprint arXiv:math/9803062},
year = {2007}
}
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37 pages