jack (version 2.0.0)

ZonalQPol: Quaternionic zonal polynomial

Description

Returns the quaternionic (or symplectic) zonal polynomial.

Usage

ZonalQPol(n, lambda, algorithm = "DK", basis = "canonical", exact = TRUE)

Arguments

n

number of variables, a positive integer

lambda

an integer partition, given as a vector of decreasing integers

algorithm

the algorithm used, either "DK" or "naive"

basis

the polynomial basis for algorithm = "naive", either "canonical" or "MSF" (monomial symmetric functions); for algorithm = "DK" the canonical basis is always used and this parameter is ignored

exact

logical, whether to get rational coefficients when using algorithm = "naive"; ignored if algorithm = "DK"

Value

A polynomial (mvp object; see mvp-package) or a character string if basis = "MSF".

Examples

# NOT RUN {
ZonalQPol(3, lambda = c(3,1), algorithm = "naive")
ZonalQPol(3, lambda = c(3,1), algorithm = "DK")
ZonalQPol(3, lambda = c(3,1), algorithm = "naive", basis = "MSF")
# }