Generalization of the Gale-Ryser theorem

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We prove an inequality for the Kostka-Foulkes polynomials $K_{λ,μ}(q)$. As a corollary, we obtain a nontrivial lower bound for the Kostka numbers and a new proof of the Berenstein-Zelevinsky weight-multiplicity-one-criterium.
10 pages

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High Energy Physics - Theory, Combinatorics

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http://salesiana.dossiersoluciones.com/handle/123456789/148236

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/9304099
 http://arxiv.org/abs/hep-th/9304099

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arXiv