Package: jack 6.1.0

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, 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]

jack_6.1.0.tar.gz
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jack_6.1.0.tgz(r-4.4-emscripten)jack_6.1.0.tgz(r-4.3-emscripten)
jack.pdf |jack.html
jack/json (API)
NEWS

# Install 'jack' in R:
install.packages('jack', repos = c('https://cran.r-universe.dev', 'https://cloud.r-project.org'))

Peer review:

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

Uses libs:
  • gmp– Multiprecision arithmetic library
  • c++– GNU Standard C++ Library v3

2.60 score 40 scripts 503 downloads 49 exports 91 dependencies

Last updated 3 months agofrom:dcd939658b. Checks:OK: 2. Indexed: no.

TargetResultDate
Doc / VignettesOKSep 28 2024
R-4.5-linux-x86_64OKSep 28 2024

Exports:ESFfactorialSchurPolflaggedSchurPolflaggedSkewSchurPolHallLittlewoodPolHallPolynomialsJackJackCombinationJackPolJackPolRJackRJackSymPolKostaFoulkesPolynomialKostkaJackNumbersKostkaJackNumbersWithGivenLambdaLRmultLRskewMacdonaldPolmodifiedMacdonaldPolMSFqtKostkaPolynomialsqtSkewKostkaPolynomialsSchurSchurCombinationSchurPolSchurPolRSchurRSkewFactorialSchurPolSkewHallLittlewoodPolSkewJackPolSkewJackSymPolSkewKostkaFoulkesPolynomialskewKostkaJackNumbersSkewMacdonaldPolSkewSchurPolsymbolicJackCombinationsymbolicKostkaJackNumberssymbolicKostkaJackNumbersWithGivenLambdasymbolicSkewKostkaJackNumberstSchurPoltSkewSchurPolZonalZonalPolZonalPolRZonalQZonalQPolZonalQPolRZonalQRZonalR

Dependencies:abindaskpassBHbootcellrangerclassclicolorspacecpp11crayoncurldata.tableDescToolsdigestdisordRdplyre1071Exactexpmfansifarvergenericsggplot2gldgluegmpgtablehmshttrisobandjsonlitelabelinglatticelifecyclelmommagicmagrittrMASSmathjaxrMatrixmgcvmimempolymulticoolmunsellmvpmvtnormnlmenumbersopensslorthopolynompartitionspillarpkgconfigplyrpolynomprettyunitsprogressproxypurrrqsprayR6RationalMatrixratioOfQspraysrbibutilsRColorBrewerRcppRcppCGALRcppEigenRdpackreadxlrematchrlangrootSolverstudioapiRyacasscalessetsspraystringistringrsymbolicQspraysyssyttibbletidyrtidyselectutf8vctrsviridisLitewithr

Readme and manuals

Help Manual

Help pageTopics
Evaluation of elementary symmetric functionsESF
Factorial Schur polynomialfactorialSchurPol
Flagged Schur polynomialflaggedSchurPol
Flagged skew Schur polynomialflaggedSkewSchurPol
Hall-Littlewood polynomialHallLittlewoodPol
Hall polynomialsHallPolynomials
Evaluation of Jack polynomial - C++ implementationJack
Symmetric polynomial in terms of Jack polynomialsJackCombination
Jack polynomial - C++ implementationJackPol
Jack polynomialJackPolR
Evaluation of Jack polynomialsJackR
Jack polynomial with symbolic Jack parameterJackSymPol
Kostka-Foulkes polynomialKostaFoulkesPolynomial
Kostka-Jack numbers with a given Jack parameterKostkaJackNumbers
Kostka-Jack numbers with a given partition lambdaKostkaJackNumbersWithGivenLambda
Littlewood-Richardson rule for multiplicationLRmult
Littlewood-Richardson rule for skew Schur polynomialLRskew
Macdonald polynomialMacdonaldPol
Modified Macdonald polynomialmodifiedMacdonaldPol
Evaluation of monomial symmetric functionsMSF
qt-Kostka polynomialsqtKostkaPolynomials
Skew qt-Kostka polynomialsqtSkewKostkaPolynomials
Evaluation of Schur polynomial - C++ implementationSchur
Symmetric polynomial in terms of the Schur polynomialsSchurCombination
Schur polynomial - C++ implementationSchurPol
Schur polynomialSchurPolR
Evaluation of Schur polynomialsSchurR
Skew factorial Schur polynomialSkewFactorialSchurPol
Skew Hall-Littlewood polynomialSkewHallLittlewoodPol
Skew Jack polynomialSkewJackPol
Skew Jack polynomial with symbolic Jack parameterSkewJackSymPol
Skew Kostka-Foulkes polynomialSkewKostkaFoulkesPolynomial
Skew Kostka-Jack numbers with given Jack parameterskewKostkaJackNumbers
Skew Macdonald polynomialSkewMacdonaldPol
Skew Schur polynomialSkewSchurPol
Symmetric polynomial in terms of symbolic Jack polynomialssymbolicJackCombination
Kostka-Jack numbers with symbolic Jack parametersymbolicKostkaJackNumbers
Kostka-Jack numbers with symbolic Jack parameter for a given lambdasymbolicKostkaJackNumbersWithGivenLambda
Skew Kostka-Jack numbers with symbolic Jack parametersymbolicSkewKostkaJackNumbers
t-Schur polynomialtSchurPol
Skew t-Schur polynomialtSkewSchurPol
Evaluation of zonal polynomial - C++ implementationZonal
Zonal polynomial - C++ implementationZonalPol
Zonal polynomialZonalPolR
Evaluation of zonal quaternionic polynomial - C++ implementationZonalQ
Quaternionic zonal polynomial - C++ implementationZonalQPol
Quaternionic zonal polynomialZonalQPolR
Evaluation of quaternionic zonal polynomialsZonalQR
Evaluation of zonal polynomialsZonalR