ZonalQPol

Returns the quaternionic zonal polynomial.

Symbolic calculation and evaluation of the Jack polynomials,
zonal polynomials, and Schur polynomials. Mainly based on Demmel &
Koev's paper (2006) <doi:10.1090/S0025-5718-05-01780-1>. Zonal
polynomials and Schur polynomials are particular cases of Jack
polynomials. Zonal polynomials appear in random matrix theory. Schur
polynomials appear in the field of combinatorics. The package can also
compute the skew Schur polynomials.

Stc3<a9>phane Laurent

jack

Jack, Zonal, and Schur Polynomials

ZonalQPol function

<dl><dt>n</dt>
<dd>number of variables, a positive integer</dd>
<dt>lambda</dt>
<dd>an integer partition, given as a vector of decreasing
integers</dd></dl>

Arguments

Quaternionic zonal polynomial - C++ implementation — ZonalQPol

<dl>

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


<dt>lambda</dt>
<dd>an integer partition, given as a vector of decreasing
integers</dd>

</dl>

ZonalQPol: Quaternionic zonal polynomial - C++ implementation

Description

Usage

Value

Arguments

Examples