TransposeTableau

The conjugate tableau: rows and columns exchanged.

FindStatMp00084via StandardTableau↗

TransposeTableau(StandardTableau)The conjugate tableau: rows and columns exchanged.

Typed signatures

Type	Package	Applies
(standard_tableau) -> standard_tableau	combinatorics	always

Domain: Combinatorial maps

Details

• Takes a StandardTableau and returns a StandardTableau — a typed map, so a wrong carrier is a type error rather than a wrong answer.
• Its shape is the conjugate of the original's, so it is TransposePartition on shapes.

Examples

Basic #

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

live ↗

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

About

Examples	1
Crosswalk	FindStat