Tableaux : Table of Contents

• Tableaux -- a package for computing with Young tableaux
• allSemistandardTableaux -- list all semistandard Young tableaux of a given shape
• applyEntries -- apply a function to all entries in the tableau
• applyPositions -- apply a function to all positions of boxes in a tableau
• boxContent -- compute the content of a box of a tableau
• columnEntries -- get the entries in a column.
• columnRange -- the range of column indices of a tableau.
• components(SkewTableau) -- get the connected components of a tableau
• conjugate(SkewTableau) -- conjugate a tableau
• entries(SkewTableau) -- the filling of a skew tableau
• ferrersDiagram -- a net of the Ferrers diagram
• hookLength -- compute the hook length of a box of a tableau
• isNonnegative -- check if shapes are nonnegative
• isWeaklyDecreasing -- check if shapes are weakly decreasing
• 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
• positionList -- get the positions of all the boxes in a tableau
• rowEntries -- get the entries in a row.
• rowRange -- the range of row indices of a tableau.
• shape -- the shape of a Young tableau
• shift -- shift a tableau
• size(SkewTableau) -- the number of boxes in a skew tableau
• skewShape -- 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
• tex(SkewTableau) -- LaTeX output for a skew tableau
• toIndex -- get the index of a box, given its position.
• toPosition -- get the position of a box, given its index.
• unshift -- unshift a tableau
• verticalConcatenate -- vertical concatenation of a list of tableaux
• youngDiagram -- a net of the Young diagram
• YoungTableau -- a type of HashTable representing a (nonskew) Young tableau
• youngTableau -- constructor for type YoungTableau