A generalization of the Kostka-Foulkes polynomials

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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).
37 pages

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Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/76699

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9803062
 http://arxiv.org/abs/math/9803062

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arXiv