Package: jack 6.1.0.9001

Stéphane Laurent

jack: Jack, Zonal, Schur, and Other Symmetric Polynomials

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, Green 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>.

Authors:Stéphane Laurent [aut, cre]

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Bug tracker:https://github.com/stla/jackr/issues

On CRAN:

jack-polynomialsschur-polynomialssymmetric-polynomialszonal-polynomials

56 exports 1 stars 2.33 score 91 dependencies 40 scripts 678 downloads

Last updated 21 days agofrom:1c9bb736de. Checks:OK: 9. Indexed: yes.

Exports:cshPolynomialESFesPolynomialfactorialSchurPolflaggedSchurPolflaggedSkewSchurPolGreenQpolynomialsGreenXpolynomialsHallLittlewoodPolHallPolynomialsHLcombinationPHLcombinationQJackJackCombinationJackPolJackPolRJackRJackSymPolKostkaFoulkesPolynomialKostkaJackNumbersKostkaJackNumbersWithGivenLambdaLRmultLRskewMacdonaldPolmodifiedMacdonaldPolmsPolynomialpsPolynomialqtKostkaPolynomialsqtSkewKostkaPolynomialsSchurSchurCombinationSchurPolSchurPolRSchurRSkewFactorialSchurPolSkewHallLittlewoodPolSkewJackPolSkewJackSymPolSkewKostkaFoulkesPolynomialskewKostkaJackNumbersSkewMacdonaldPolSkewSchurPolsymbolicJackCombinationsymbolicKostkaJackNumberssymbolicKostkaJackNumbersWithGivenLambdasymbolicSkewKostkaJackNumberstSchurPoltSkewSchurPolZonalZonalPolZonalPolRZonalQZonalQPolZonalQPolRZonalQRZonalR

Dependencies:abindaskpassBHbootcellrangerclassclicolorspacecpp11crayoncurldata.tableDescToolsdigestdisordRdplyre1071Exactexpmfansifarvergenericsggplot2gldgluegmpgtablehmshttrisobandjsonlitelabelinglatticelifecyclelmommagicmagrittrMASSmathjaxrMatrixmgcvmimempolymulticoolmunsellmvpmvtnormnlmenumbersopensslorthopolynompartitionspillarpkgconfigplyrpolynomprettyunitsprogressproxypurrrqsprayR6RationalMatrixratioOfQspraysrbibutilsRColorBrewerRcppRcppCGALRcppEigenRdpackreadxlrematchrlangrootSolverstudioapiRyacasscalessetsspraystringistringrsymbolicQspraysyssyttibbletidyrtidyselectutf8vctrsviridisLitewithr