flaggedSchurPol

Computes a flagged Schur polynomial (which is not symmetric
 in general). See
 <a href="https://math.mit.edu/~apost/papers/degreeschub.pdf">Chains in the Bruhat order</a>
 for the definition.

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

flaggedSchurPol function

<dl><dt>lambda</dt>
<dd>integer partition</dd>
<dt>a, b</dt>
<dd>lower bounds and upper bounds, weakly increasing vectors of
integers; <code>lambda</code>, <code>a</code> and <code>b</code> must have the same length</dd></dl>

Arguments

Computes a flagged Schur polynomial (which is not symmetric
 in general). See
 <a href='https://math.mit.edu/~apost/papers/degreeschub.pdf'>Chains in the Bruhat order</a>
 for the definition.

Flagged Schur polynomial — flaggedSchurPol

<dl>

<dt>lambda</dt>
<dd>integer partition</dd>


<dt>a, b</dt>
<dd>lower bounds and upper bounds, weakly increasing vectors of
integers; <code>lambda</code>, <code>a</code> and <code>b</code> must have the same length</dd>

</dl>

flaggedSchurPol: Flagged Schur polynomial

Description

Usage

Value

Arguments

Examples