all_ssSkewTableaux {syt}

Semistandard skew tableaux

Description

Enumeration of all semistandard skew tableaux with given shape and given maximum entry.

Usage

all_ssSkewTableaux(lambda, mu, n)

Arguments

lambda, mu

integer partitions defining the skew partition: lambda is the outer partition and mu is the inner partition (so mu must be a subpartition of lambda)

n

a positive integer, the maximum entry of the skew tableaux

Value

The list of all semistandard skew tableaux whose shape is the skew partition defined by lambda and mu and with maximum entry n.

Examples

ssstx <- all_ssSkewTableaux(c(4, 3, 1), c(2, 2), 2)
lapply(ssstx, prettySkewTableau)