KostkaNumbersWithGivenLambda: Kostka numbers with given lambda

In stla/syt: Young Tableaux

Kostka numbers with given \lambda

Description

Lists all positive Kostka numbers K(\lambda,\mu) with a given partition \lambda.

Usage

KostkaNumbersWithGivenLambda(lambda, output = "vector")

Arguments

lambda	integer partition
output	the format of the output, either "vector" or "list"

Value

If output="vector", this function returns a named vector. This vector is made of the non-zero (i.e. positive) Kostka numbers K(\lambda,\mu), which are integers, and its names encode the partitions \mu. If output="list", this function returns a list of lists. Each of these lists has two elements. The first one is named mu and is an integer partition, and the second one is named value and is a positive integer, the Kostka number K(\lambda,\mu). It is faster to compute the Kostka numbers with this function than computing the individual Kostka numbers with the function KostkaNumber.

See Also

KostkaNumber, KostkaNumbers, KostkaNumbersWithGivenMu.

Examples

KostkaNumbersWithGivenLambda(c(2, 1, 1))

stla/syt documentation built on July 24, 2024, 4:37 a.m.