Generalization of the Gale-Ryser theorem

Details Generalization of the Gale-Ryser theorem Generalization of the Gale-Ryser theorem

1993-04-21

arxiv.org/abs/hep-th/9304099v2

Physics

High Energy Physics

High Energy Physics - Theory

10 pages

Scientific paper

We prove an inequality for the Kostka-Foulkes polynomials $K_{\lambda
,\mu}(q)$. 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.

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