symbolicSkewKostkaJackNumbers function

Skew Kostka-Jack numbers with symbolic Jack parameter

Skew Kostka-Jack numbers associated to a given skew partition with a symbolic Jack parameter.

symbolicSkewKostkaJackNumbers(lambda, mu)

Arguments

• 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)

Returns

The function returns a list. Each element of this list is a named list with two elements: an integer partition $\nu$

in the field named "nu", and the corresponding skew Kostka number $K_{\lambda/\mu,\nu}(\alpha)$ in the field named "value", a ratioOfQsprays object.

Examples

symbolicSkewKostkaJackNumbers(c(4,2,2), c(2,2))