SkewFactorialSchurPol {jack} | R Documentation |
Skew factorial Schur polynomial
Description
Computes the skew factorial Schur polynomial associated to a given skew partition.
Usage
SkewFactorialSchurPol(n, lambda, mu, a, i0)
Arguments
n |
number of variables |
lambda , mu |
integer partitions defining the skew partition:
|
a |
vector of |
i0 |
positive integer, the index of |
Value
A qspray
polynomial.
References
I.G. Macdonald. Schur functions: theme and variations. Publ. IRMA Strasbourg, 1992.
Examples
# for a=c(0, 0, ...), the skew factorial Schur polynomial is the
# skew Schur polynomial; let's check
n <- 4
lambda <- c(3, 3, 2, 2); mu <- c(2, 2)
a <- rep(0, 9)
i0 <- 3
skewFactorialSchurPoly <- SkewFactorialSchurPol(n, lambda, mu, a, i0)
skewSchurPoly <- SkewSchurPol(n, lambda, mu)
skewFactorialSchurPoly == skewSchurPoly # should be TRUE