HLcombinationP: Symmetric polynomial in terms of Hall-Littlewood...

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

Symmetric polynomial in terms of Hall-Littlewood P-polynomials

Description

Returns the expression of a symmetric polynomial as a linear combination of some Hall-Littlewood P-polynomials.

Usage

HLcombinationP(Qspray, check = TRUE)

Arguments

Qspray	a qspray polynomial or a symbolicQspray polynomial, which must be symmetric
check	Boolean, whether to check the symmetry

Value

A list defining the linear combination. Each element of this list is itself a list, with two elements: coeff, which is a ratioOfQsprays, and the second element of this list is lambda, an integer partition; then this list corresponds to the term coeff * HallLittlewoodPol(n, lambda, "P") of the linear combination, where n is the number of variables in the symmetric polynomial Qspray. The output list defining the linear combination is named by some character strings encoding the partitions lambda.

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