qt-Kostka polynomials, aka Kostka-Macdonald polynomials.
qtKostkaPolynomials(mu)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.
integer partition