flaggedSkewSchurPol: Flagged skew Schur polynomial

In jack: Jack, Zonal, Schur, and Other Symmetric Polynomials

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)

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

Value

A qspray polynomial.

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

jack documentation built on Sept. 11, 2024, 6:34 p.m.