HallPolynomials: Hall polynomials

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

Hall polynomials

Description

Hall polynomials g^{\lambda}_{\mu,\nu}(t) for given integer partitions \mu and \nu.

Usage

HallPolynomials(mu, nu)

Arguments

mu, nu

integer partitions

Value

A list of lists. Each of these lists has two elements: an integer partition \lambda in the field lambda, and a univariate qspray polynomial in the field polynomial, the Hall polynomial g^{\lambda}_{\mu,\nu}(t). Every coefficient of a Hall polynomial is an integer.

Note

This function is slow.

Examples

HallPolynomials(c(2, 1), c(1, 1))

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