= Semistandard Young tableau
= Semistandard Young tableaux
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{synonym}
= Semistandard tableau
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= Semi-standard tableau
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A semistandard Young tableau fills a <Young diagram> with positive <integers>, permitting repeated entries, so that entries weakly increase along rows and strictly increase down columns. Its content records the number of occurrences of each entry. The <Kostka number> $K_{\lambda\mu}$ counts such fillings of shape $\lambda$ and content $\mu$.
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