KostaFoulkesPolynomial {jack}

Kostka-Foulkes polynomial

Description

Kostka-Foulkes polynomial for two given partitions.

Usage

KostaFoulkesPolynomial(lambda, mu)

Arguments

lambda, mu

integer partitions; in order for the Kostka-Foulkes polynomial to be non-zero, a necessary condition is that lambda and mu have the same weight; more precisely, mu must be dominated by lambda

Value

The Kostka-Foulkes polynomial associated to lambda and mu. This is a univariate qspray polynomial whose value at 1 is the Kostka number associated to lambda and mu.