SkewSchurPol

Returns the skew Schur polynomial.

Schur polynomials appear in combinatorics and zonal
polynomials appear in random matrix theory. They are particular cases
of Jack polynomials. This package allows to compute these polynomials
and other symmetric multivariate polynomials: flagged Schur
polynomials, factorial Schur polynomials, t-Schur polynomials,
Hall-Littlewood polynomials, Macdonald polynomials, and modified
Macdonald polynomials. In addition, it can compute the Kostka-Jack
numbers, the Kostka-Foulkes polynomials, the Kostka-Macdonald
polynomials, and the Hall polynomials. Mainly based on Demmel &
Koev's paper (2006) <doi:10.1090/S0025-5718-05-01780-1> and
Macdonald's book (1995) <doi:10.1093/oso/9780198534891.003.0001>.

Stc3<a9>phane Laurent

jack

Jack, Zonal, Schur, and Other Symmetric Polynomials

Stéphane Laurent

SkewSchurPol function

<dl><dt>n</dt>
<dd>number of variables, a positive integer</dd>
<dt>lambda, mu</dt>
<dd>integer partitions defining the skew partition:
<code>lambda</code> is the outer partition and <code>mu</code> is the inner partition
(so <code>mu</code> must be a subpartition of <code>lambda</code>)</dd></dl>

Arguments

Skew Schur polynomial — SkewSchurPol

<dl>

<dt>n</dt>
<dd>number of variables, a positive integer</dd>


<dt>lambda, mu</dt>
<dd>integer partitions defining the skew partition:
<code>lambda</code> is the outer partition and <code>mu</code> is the inner partition
(so <code>mu</code> must be a subpartition of <code>lambda</code>)</dd>

</dl>

SkewSchurPol: Skew Schur polynomial

Description

Usage

Value

Arguments

Details

Examples