RowSetPartition

The set partition whose blocks are the rows of the tableau.

FindStatMp00284via StandardTableau↗

RowSetPartition(StandardTableau)The set partition whose blocks are the rows of the tableau.

Typed signatures

Type	Package	Applies
(standard_tableau) -> set_partition	combinatorics	always

Domain: Combinatorial maps

Details

• Takes a StandardTableau and returns a SetPartition — a typed map, so a wrong carrier is a type error rather than a wrong answer.
• FindStat's Mp00284. Injective on the tableaux of a given shape; the shape is the sequence of block sizes.

Examples

Basic #

the standard tableau with rows $13$ and $2$

live ↗

In$\mathrm{RowSetPartition}({\operatorname{StandardTableau}}([[1, 3], [2]]))$Out${\operatorname{SetPartition}}([[1, 3], [2]])$

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