skewTableauxWithGivenShapeAndWeight {syt}

Skew semistandard tableaux with given shape and weight

Description

Enumeration of all skew semistandard tableaux with a given shape and a given weight. The weight of a tableau is the vector whose i-th element is the number of occurrences of i in this tableau.

Usage

skewTableauxWithGivenShapeAndWeight(lambda, mu, weight)

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)

weight

integer vector, the weight

Value

List of all skew semistandard tableaux whose shape is the skew partition defined by lambda and mu and whose weight is weight.

Examples

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