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Tableaux : Index
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allSemistandardTableaux
-- list all semistandard Young tableaux of a given shape
allSemistandardTableaux(Partition)
-- list all semistandard Young tableaux of a given shape
allSemistandardTableaux(Partition,Partition)
-- list all semistandard Young tableaux of a given shape
allSemistandardTableaux(Partition,Partition,ZZ)
-- list all semistandard Young tableaux of a given shape
allSemistandardTableaux(Partition,ZZ)
-- list all semistandard Young tableaux of a given shape
applyEntries
-- apply a function to all entries in the tableau
applyEntries(SkewTableau,Function)
-- apply a function to all entries in the tableau
applyPositions
-- apply a function to all positions of boxes in a tableau
applyPositions(SkewTableau,Function)
-- apply a function to all positions of boxes in a tableau
boxContent
-- compute the content of a box of a tableau
boxContent(ZZ,ZZ)
-- compute the content of a box of a tableau
columnEntries
-- get the entries in a column.
columnEntries(SkewTableau,ZZ)
-- get the entries in a column.
columnEntries(ZZ,SkewTableau)
-- get the entries in a column.
columnRange
-- the range of column indices of a tableau.
columnRange(SkewTableau)
-- the range of column indices of a tableau.
components(SkewTableau)
-- get the connected components of a tableau
conjugate(SkewTableau)
-- conjugate a tableau
drawInnerShape
-- constructor for type SkewTableau
drawInnerShape(Boolean)
-- constructor for type SkewTableau
entries(SkewTableau)
-- the filling of a skew tableau
ferrersDiagram
-- a net of the Ferrers diagram
ferrersDiagram(Partition)
-- a net of the Ferrers diagram
ferrersDiagram(Partition,Partition)
-- a net of the Ferrers diagram
ferrersDiagram(SkewTableau)
-- a net of the Ferrers diagram
hookLength
-- compute the hook length of a box of a tableau
hookLength(Sequence,SkewTableau)
-- compute the hook length of a box of a tableau
isNonnegative
-- check if shapes are nonnegative
isNonnegative(Partition)
-- check if shapes are nonnegative
isNonnegative(Partition,Partition)
-- check if shapes are nonnegative
isNonnegative(SkewTableau)
-- check if shapes are nonnegative
isWeaklyDecreasing
-- check if shapes are weakly decreasing
isWeaklyDecreasing(Partition)
-- check if shapes are weakly decreasing
isWeaklyDecreasing(Partition,Partition)
-- check if shapes are weakly decreasing
isWeaklyDecreasing(SkewTableau)
-- check if shapes are weakly decreasing
net(SkewTableau)
-- a type of HashTable representing a skew Young tableau
numColumns(SkewTableau)
-- the number of columns in a tableau
numRows(SkewTableau)
-- the number of rows in a tableau
numSemistandardTableaux
-- compute the number of semistandard Young tableaux of a given shape
numSemistandardTableaux(Partition)
-- compute the number of semistandard Young tableaux of a given shape
numSemistandardTableaux(Partition,ZZ)
-- compute the number of semistandard Young tableaux of a given shape
pad(Partition,Partition)
-- the shape of a skew tableau
positionList
-- get the positions of all the boxes in a tableau
positionList(SkewTableau)
-- get the positions of all the boxes in a tableau
rowEntries
-- get the entries in a row.
rowEntries(SkewTableau,ZZ)
-- get the entries in a row.
rowEntries(ZZ,SkewTableau)
-- get the entries in a row.
rowRange
-- the range of row indices of a tableau.
rowRange(SkewTableau)
-- the range of row indices of a tableau.
shape
-- the shape of a Young tableau
shape(YoungTableau)
-- the shape of a Young tableau
shift
-- shift a tableau
shift(SkewTableau)
-- shift a tableau
shift(SkewTableau,ZZ)
-- shift a tableau
size(SkewTableau)
-- the number of boxes in a skew tableau
skewShape
-- the shape of a skew tableau
skewShape(SkewTableau)
-- the shape of a skew tableau
SkewTableau
-- a type of HashTable representing a skew Young tableau
skewTableau
-- constructor for type SkewTableau
SkewTableau ++ SkewTableau
-- direct sum of tableaux
SkewTableau ^ ZZ
-- get the entries in a row.
SkewTableau _ Sequence
-- get the entry at a specific position.
SkewTableau _ ZZ
-- get the entries in a column.
SkewTableau || SkewTableau
-- vertical concatenation of two tableaux
skewTableau(Partition)
-- constructor for type SkewTableau
skewTableau(Partition,List)
-- constructor for type SkewTableau
skewTableau(Partition,Partition)
-- constructor for type SkewTableau
skewTableau(Partition,Partition,List)
-- constructor for type SkewTableau
skewTableau(Sequence,List)
-- constructor for type SkewTableau
skewTableau(YoungTableau)
-- constructor for type SkewTableau
standardize
-- the shape of a skew tableau
standardize(Partition,Partition)
-- the shape of a skew tableau
Tableaux
-- a package for computing with Young tableaux
tex(SkewTableau)
-- LaTeX output for a skew tableau
toIndex
-- get the index of a box, given its position.
toIndex(Sequence,SkewTableau)
-- get the index of a box, given its position.
toIndex(SkewTableau,Sequence)
-- get the index of a box, given its position.
toPosition
-- get the position of a box, given its index.
toPosition(SkewTableau,ZZ)
-- get the position of a box, given its index.
toPosition(ZZ,SkewTableau)
-- get the position of a box, given its index.
truncate(Partition)
-- the shape of a Young tableau
truncate(Partition,Partition)
-- the shape of a skew tableau
unshift
-- unshift a tableau
unshift(SkewTableau)
-- unshift a tableau
unshift(SkewTableau,ZZ)
-- unshift a tableau
verticalConcatenate
-- vertical concatenation of a list of tableaux
verticalConcatenate(List)
-- vertical concatenation of a list of tableaux
youngDiagram
-- a net of the Young diagram
youngDiagram(Partition)
-- a net of the Young diagram
youngDiagram(Partition,Partition)
-- a net of the Young diagram
youngDiagram(SkewTableau)
-- a net of the Young diagram
YoungTableau
-- a type of HashTable representing a (nonskew) Young tableau
youngTableau
-- constructor for type YoungTableau
youngTableau(Partition)
-- constructor for type YoungTableau
youngTableau(Partition,List)
-- constructor for type YoungTableau