Package: syt 0.5.0

Stéphane Laurent

syt: Young Tableaux

Deals with Young tableaux (field of combinatorics). For standard Young tabeaux, performs enumeration, counting, random generation, the Robinson-Schensted correspondence, and conversion to and from paths on the Young lattice. Also performs enumeration and counting of semistandard Young tableaux, enumeration of skew semistandard Young tableaux, enumeration of Gelfand-Tsetlin patterns, and computation of Kostka numbers.

Authors:Stéphane Laurent

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NEWS

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

Peer review:

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

On CRAN:

combinatoricsyoung-tableaux

5.07 score 3 stars 1 packages 24 scripts 243 downloads 1 mentions 40 exports 9 dependencies

Last updated 4 months agofrom:ebd871647a. Checks:OK: 7. Indexed: yes.

TargetResultDate
Doc / VignettesOKNov 22 2024
R-4.5-winOKNov 22 2024
R-4.5-linuxOKNov 22 2024
R-4.4-winOKNov 22 2024
R-4.4-macOKNov 22 2024
R-4.3-winOKNov 22 2024
R-4.3-macOKNov 22 2024

Exports:all_ssSkewTableauxall_ssytxall_sytxballot2sytcount_ssytxcount_sytxdualSkewTableaudualsytdualTableaufirstsytGelfandTsetlinPatternsgprocess2sythooklengthshooksisSemistandardSkewTableauisSkewTableauisSSYTisStandardSkewTableauisSYTKostkaNumberKostkaNumbersKostkaNumbersWithGivenLambdaKostkaNumbersWithGivenMumatrix2sytnextsytprettyGTprettySkewTableauprettyTableaurgprocessRSrsytskewGelfandTsetlinPatternsskewKostkaNumbersskewTableauxWithGivenShapeAndWeightssytx_withGivenShapeAndWeightsyt2ballotsyt2gprocesssyt2matrixtableau2matrixtableauShape

Dependencies:gmplatticemathjaxrMatrixpartitionspolynomrbibutilsRdpacksets

Readme and manuals

Help Manual

Help pageTopics
Semistandard skew tableauxall_ssSkewTableaux
Enumeration of semistandard Young tableauxall_ssytx
Enumeration of standard Young tableauxall_sytx
Tableau as ballot sequenceballot2syt
Number of semistandard Young tableauxcount_ssytx
Number of standard Young tableauxcount_sytx
Dual skew tableaudualSkewTableau
Dual tableaudualsyt
Dual tableaudualTableau
First tableau of a given shapefirstsyt
Gelfand-Tsetlin patternsGelfandTsetlinPatterns
Growth process to tableaugprocess2syt
Hook lengthshooklengths
Hookshooks
Check whether a skew tableau is semistandardisSemistandardSkewTableau
Check whether a tableau is a skew tableauisSkewTableau
Checks whether a tableau is semistandardisSSYT
Check whether a skew tableau is standardisStandardSkewTableau
Checks whether a tableau is standardisSYT
Kostka numberKostkaNumber
Kostka numbers for all partitions of a given weightKostkaNumbers
Kostka numbers with given lambdaKostkaNumbersWithGivenLambda
Kostka numbers with given muKostkaNumbersWithGivenMu
Standard Young tableau from a matrixmatrix2syt
Next tableaunextsyt
Pretty Gelfand-Tsetlin patternprettyGT
Pretty skew tableauprettySkewTableau
Pretty tableauprettyTableau
Plancherel growth processrgprocess
Robinson-Schensted correspondenceRS
Random standard Young tableaursyt
Skew Gelfand-Tsetlin patternsskewGelfandTsetlinPatterns
Skew Kostka numbersskewKostkaNumbers
Skew semistandard tableaux with given shape and weightskewTableauxWithGivenShapeAndWeight
Semistandard Young tableaux with given shape and weightssytx_withGivenShapeAndWeight
Tableau as ballot sequencesyt2ballot
Tableau as growth processsyt2gprocess
Standard Young tableau as sparse matrixsyt2matrix
Tableau as sparse matrixtableau2matrix
Shape of a tableautableauShape