SkewMacdonaldPol function

Skew Macdonald polynomial

Returns the skew Macdonald polynomial associated to the given skew partition.

SkewMacdonaldPol(n, lambda, mu, which = "P")

Arguments

• n: number of variables, a positive integer

• lambda, mu: 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)

• which: which skew Macdonald polynomial, "P", "Q"

  or "J"

Returns

A symbolicQspray multivariate polynomial, the skew Macdonald polynomial associated to the skew partition defined by lambda and mu. It has two parameters usually denoted by $q$ and $t$. Substituting $q$ with $0$

yields the skew Hall-Littlewood polynomials.