GreenXpolynomials: Green X-polynomials

In stla/jackR: Jack, Zonal, Schur, and Other Symmetric Polynomials

Green X-polynomials

Description

Computes the Green X-polynomials for a given integer partition.

Usage

GreenXpolynomials(rho)

Arguments

rho	an integer partition

Value

The Green X-polynomials, usually denoted by X_\rho^\lambda, for all integer partitions \lambda of the same weight as the given integer partition \rho. They are returned in a list. Each element of this list is itself a list, with two elements. The first one, called lambda, represents the partition \lambda. The second one, called polynomial, represents the Green X-polynomial X_\rho^\lambda. This is a univariate qspray polynomial whose variable is denoted by t, and all its coefficients are some integers. The names of the list encode the partitions \lambda.

Note

The Green X-polynomials are a variant of the "true" Green polynomials, that we called the Green Q-polynomials (GreenQpolynomials).

See Also

GreenQpolynomials.

Examples

GreenXpolynomials(c(2, 1)) 

stla/jackR documentation built on Sept. 1, 2024, 11:07 a.m.