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