- FindStat

Identifier

Mp00077: Semistandard tableaux —shape⟶ Integer partitions
Mp00045: Integer partitions —reading tableau⟶ Standard tableaux

Images

[[1,2]] => [2] => [[1,2]]

[[2,2]] => [2] => [[1,2]]

[[1],[2]] => [1,1] => [[1],[2]]

[[1,3]] => [2] => [[1,2]]

[[2,3]] => [2] => [[1,2]]

[[3,3]] => [2] => [[1,2]]

[[1],[3]] => [1,1] => [[1],[2]]

[[2],[3]] => [1,1] => [[1],[2]]

[[1,1,2]] => [3] => [[1,2,3]]

[[1,2,2]] => [3] => [[1,2,3]]

[[2,2,2]] => [3] => [[1,2,3]]

[[1,1],[2]] => [2,1] => [[1,3],[2]]

[[1,2],[2]] => [2,1] => [[1,3],[2]]

[[1,4]] => [2] => [[1,2]]

[[2,4]] => [2] => [[1,2]]

[[3,4]] => [2] => [[1,2]]

[[4,4]] => [2] => [[1,2]]

[[1],[4]] => [1,1] => [[1],[2]]

[[2],[4]] => [1,1] => [[1],[2]]

[[3],[4]] => [1,1] => [[1],[2]]

[[1,1,3]] => [3] => [[1,2,3]]

[[1,2,3]] => [3] => [[1,2,3]]

[[1,3,3]] => [3] => [[1,2,3]]

[[2,2,3]] => [3] => [[1,2,3]]

[[2,3,3]] => [3] => [[1,2,3]]

[[3,3,3]] => [3] => [[1,2,3]]

[[1,1],[3]] => [2,1] => [[1,3],[2]]

[[1,2],[3]] => [2,1] => [[1,3],[2]]

[[1,3],[2]] => [2,1] => [[1,3],[2]]

[[1,3],[3]] => [2,1] => [[1,3],[2]]

[[2,2],[3]] => [2,1] => [[1,3],[2]]

[[2,3],[3]] => [2,1] => [[1,3],[2]]

[[1],[2],[3]] => [1,1,1] => [[1],[2],[3]]

[[1,1,1,2]] => [4] => [[1,2,3,4]]

[[1,1,2,2]] => [4] => [[1,2,3,4]]

[[1,2,2,2]] => [4] => [[1,2,3,4]]

[[2,2,2,2]] => [4] => [[1,2,3,4]]

[[1,1,1],[2]] => [3,1] => [[1,3,4],[2]]

[[1,1,2],[2]] => [3,1] => [[1,3,4],[2]]

[[1,2,2],[2]] => [3,1] => [[1,3,4],[2]]

[[1,1],[2,2]] => [2,2] => [[1,2],[3,4]]

[[1,5]] => [2] => [[1,2]]

[[2,5]] => [2] => [[1,2]]

[[3,5]] => [2] => [[1,2]]

[[4,5]] => [2] => [[1,2]]

[[5,5]] => [2] => [[1,2]]

[[1],[5]] => [1,1] => [[1],[2]]

[[2],[5]] => [1,1] => [[1],[2]]

[[3],[5]] => [1,1] => [[1],[2]]

[[4],[5]] => [1,1] => [[1],[2]]

[[1,1,4]] => [3] => [[1,2,3]]

[[1,2,4]] => [3] => [[1,2,3]]

[[1,3,4]] => [3] => [[1,2,3]]

[[1,4,4]] => [3] => [[1,2,3]]

[[2,2,4]] => [3] => [[1,2,3]]

[[2,3,4]] => [3] => [[1,2,3]]

[[2,4,4]] => [3] => [[1,2,3]]

[[3,3,4]] => [3] => [[1,2,3]]

[[3,4,4]] => [3] => [[1,2,3]]

[[4,4,4]] => [3] => [[1,2,3]]

[[1,1],[4]] => [2,1] => [[1,3],[2]]

[[1,2],[4]] => [2,1] => [[1,3],[2]]

[[1,4],[2]] => [2,1] => [[1,3],[2]]

[[1,3],[4]] => [2,1] => [[1,3],[2]]

[[1,4],[3]] => [2,1] => [[1,3],[2]]

[[1,4],[4]] => [2,1] => [[1,3],[2]]

[[2,2],[4]] => [2,1] => [[1,3],[2]]

[[2,3],[4]] => [2,1] => [[1,3],[2]]

[[2,4],[3]] => [2,1] => [[1,3],[2]]

[[2,4],[4]] => [2,1] => [[1,3],[2]]

[[3,3],[4]] => [2,1] => [[1,3],[2]]

[[3,4],[4]] => [2,1] => [[1,3],[2]]

[[1],[2],[4]] => [1,1,1] => [[1],[2],[3]]

[[1],[3],[4]] => [1,1,1] => [[1],[2],[3]]

[[2],[3],[4]] => [1,1,1] => [[1],[2],[3]]

[[1,1,1,3]] => [4] => [[1,2,3,4]]

[[1,1,2,3]] => [4] => [[1,2,3,4]]

[[1,1,3,3]] => [4] => [[1,2,3,4]]

[[1,2,2,3]] => [4] => [[1,2,3,4]]

[[1,2,3,3]] => [4] => [[1,2,3,4]]

[[1,3,3,3]] => [4] => [[1,2,3,4]]

[[2,2,2,3]] => [4] => [[1,2,3,4]]

[[2,2,3,3]] => [4] => [[1,2,3,4]]

[[2,3,3,3]] => [4] => [[1,2,3,4]]

[[3,3,3,3]] => [4] => [[1,2,3,4]]

[[1,1,1],[3]] => [3,1] => [[1,3,4],[2]]

[[1,1,2],[3]] => [3,1] => [[1,3,4],[2]]

[[1,1,3],[2]] => [3,1] => [[1,3,4],[2]]

[[1,1,3],[3]] => [3,1] => [[1,3,4],[2]]

[[1,2,2],[3]] => [3,1] => [[1,3,4],[2]]

[[1,2,3],[2]] => [3,1] => [[1,3,4],[2]]

[[1,2,3],[3]] => [3,1] => [[1,3,4],[2]]

[[1,3,3],[2]] => [3,1] => [[1,3,4],[2]]

[[1,3,3],[3]] => [3,1] => [[1,3,4],[2]]

[[2,2,2],[3]] => [3,1] => [[1,3,4],[2]]

[[2,2,3],[3]] => [3,1] => [[1,3,4],[2]]

[[2,3,3],[3]] => [3,1] => [[1,3,4],[2]]

[[1,1],[2,3]] => [2,2] => [[1,2],[3,4]]

[[1,1],[3,3]] => [2,2] => [[1,2],[3,4]]

[[1,2],[2,3]] => [2,2] => [[1,2],[3,4]]

[[1,2],[3,3]] => [2,2] => [[1,2],[3,4]]

>>> Load all 2544 entries. <<<

Map

shape

Description

Return the shape of a tableau.

Map

reading tableau

Description

Return the RSK recording tableau of the reading word of the (standard) tableau $T$ labeled down (in English convention) each column to the shape of a partition.