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arXiv · 1608.01775

An iterative formula for the Kostka-Foulkes polynomials

Timothee W. Bryan·Naihuan Jing
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Abstract

An iterative formula for the Kostka-Foulkes polynomials is given using the vertex operator realization of the Hall-Littlewood polynomials. The operational formula can handle large Kostka-Foulkes polynomials, and a stability property for the Kostka-Foulkes polynomials is shown. We also use our algorithm to give a formula of $K_{\lambda\mu}(t)$ for $\mu$ being hook-shaped.

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BibTeXRIS

Timothee W. Bryan, Naihuan Jing. 2016-08-05. An iterative formula for the Kostka-Foulkes polynomials. https://doi.org/10.1007/s10801-021-01018-w

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