qtKostkaPolynomials function

qt-Kostka polynomials

qt-Kostka polynomials, aka Kostka-Macdonald polynomials.

qtKostkaPolynomials(mu)

Arguments

• mu: integer partition

Returns

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.