qtKostkaPolynomials: qt-Kostka polynomials

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

qt-Kostka polynomials

Description

qt-Kostka polynomials, aka Kostka-Macdonald polynomials.

Usage

qtKostkaPolynomials(mu)

Arguments

mu	integer partition

Value

A list. The qt-Kostka polynomials are usually denoted by K_{\lambda, \mu}(q, t) where q and t denote the two variables and \lambda and \mu are two integer partitions. One obtains the Kostka-Foulkes polynomials by substituting q with 0. For a given partition \mu, the function returns the polynomials K_{\lambda, \mu}(q, t) as qspray objects for all partitions \lambda of the same weight as \mu. The generated list is a list of lists with two elements: the integer partition \lambda and the polynomial.

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