- FindStat

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Identifier

Mp00302: Parking functions —insertion tableau⟶ Semistandard tableaux

Images

[1] => [[1]]

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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Description

The insertion tableau obtained by applying RSK to the parking function regarded as a word.

Properties

graded

Sage code

def mapping(p):
    return RSK(list(p))[0]

Weight

Created

Jun 17, 2023 at 10:15 by Martin Rubey

Updated

Jun 17, 2023 at 10:15 by Martin Rubey