A filling of a Young diagram shape λ with positive integers, weakly-increasing across rows and strictly-increasing down columns (semistandard); with entries {1..n} each appearing once, strictly-increasing both ways (standard).
A filling of a Young diagram shape λ with positive integers, weakly-increasing across rows and strictly-increasing down columns (semistandard); with entries {1..n} each appearing once, strictly-increasing both ways (standard).