SkewKostkaFoulkesPolynomial: Skew Kostka-Foulkes polynomial

In jack: Jack, Zonal, Schur, and Other Symmetric Polynomials

Skew Kostka-Foulkes polynomial

Description

Computes a skew Kostka-Foulkes polynomial.

Usage

SkewKostkaFoulkesPolynomial(lambda, mu, nu)

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)
nu	integer partition; the condition sum(nu)==sum(lambda)-sum(mu) is necessary in order to get a non-zero polynomial

Value

The skew Kostka-Foulkes polynomial associated to the skew partitiion defined by lambda and mu and to the partition nu. This is a univariate qspray polynomial whose value at 1 is the skew Kostka number associated to the skew partition defined by lambda and mu and to the partition nu.

jack documentation built on Sept. 11, 2024, 6:34 p.m.