jack (version 6.1.0)

flaggedSkewSchurPol: Flagged skew Schur polynomial

Description

Computes a flagged skew Schur polynomial (which is not symmetric in general). See Schur polynomials (flagged) for the definition.

Usage

flaggedSkewSchurPol(lambda, mu, a, b)

Value

A qspray polynomial.

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)

a, b

lower bounds and upper bounds, weakly increasing vectors of integers; lambda, a and b must have the same length

Examples

lambda <- c(3, 2, 2); mu <- c(2, 1)
n <- 3
a <- c(1, 1, 1); b <- c(n, n, n)
flaggedPoly <- flaggedSkewSchurPol(lambda, mu, a, b)
poly <- SkewSchurPol(n, lambda, mu)
flaggedPoly == poly # should be TRUE