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jack (version 1.1.0)

Jack, Zonal, and Schur Polynomials

Description

Symbolic calculation and evaluation of the Jack polynomials, zonal polynomials, and Schur polynomials. Mainly based on Demmel & Koev's paper (2006) . 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.

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Install

install.packages('jack')

Monthly Downloads

319

Version

1.1.0

License

GPL-3

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Maintainer

Stc3<a9>phane Laurent

Last Published

September 9th, 2019

Functions in jack (1.1.0)

ZonalPol

Zonal polynomial
ZonalQPol

Quaternionic zonal polynomial
ZonalQ

Evaluation of quaternionic zonal polynomials
MSF

Evaluation of monomial symmetric functions
Schur

Evaluation of Schur polynomials
ESF

Evaluation of elementary symmetric functions
ESFpoly

Elementary symmetric function
Jack

Evaluation of Jack polynomials
KostkaNumbers

Kostka numbers
MSFpoly

Monomial symmetric function
JackPol

Jack polynomial
SchurPol

Schur polynomial
Zonal

Evaluation of zonal polynomials