syt0.5.0 package

Young Tableaux

all_ssSkewTableaux

Semistandard skew tableaux

all_ssytx

Enumeration of semistandard Young tableaux

all_sytx

Enumeration of standard Young tableaux

ballot2syt

Tableau as ballot sequence

count_ssytx

Number of semistandard Young tableaux

count_sytx

Number of standard Young tableaux

dualSkewTableau

Dual skew tableau

dualsyt

Dual tableau

dualTableau

Dual tableau

firstsyt

First tableau of a given shape

GelfandTsetlinPatterns

Gelfand-Tsetlin patterns

gprocess2syt

Growth process to tableau

hooklengths

Hook lengths

hooks

Hooks

isSemistandardSkewTableau

Check whether a skew tableau is semistandard

isSkewTableau

Check whether a tableau is a skew tableau

isSSYT

Checks whether a tableau is semistandard

isStandardSkewTableau

Check whether a skew tableau is standard

isSYT

Checks whether a tableau is standard

KostkaNumber

Kostka number

KostkaNumbers

Kostka numbers for all partitions of a given weight

KostkaNumbersWithGivenLambda

Kostka numbers with given λ\lambda

KostkaNumbersWithGivenMu

Kostka numbers with given μ\mu

matrix2syt

Standard Young tableau from a matrix

nextsyt

Next tableau

prettyGT

Pretty Gelfand-Tsetlin pattern

prettySkewTableau

Pretty skew tableau

prettyTableau

Pretty tableau

rgprocess

Plancherel growth process

RS

Robinson-Schensted correspondence

rsyt

Random standard Young tableau

skewGelfandTsetlinPatterns

Skew Gelfand-Tsetlin patterns

skewKostkaNumbers

Skew Kostka numbers

skewTableauxWithGivenShapeAndWeight

Skew semistandard tableaux with given shape and weight

ssytx_withGivenShapeAndWeight

Semistandard Young tableaux with given shape and weight

syt2ballot

Tableau as ballot sequence

syt2gprocess

Tableau as growth process

syt2matrix

Standard Young tableau as sparse matrix

tableau2matrix

Tableau as sparse matrix

tableauShape

Shape of a tableau

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.

  • Maintainer: Stéphane Laurent
  • License: GPL-3
  • Last published: 2024-07-23