InitialTableau

The standard tableau of the shape filled row by row with 1, 2, ..., n.

FindStatMp00042via IntegerPartition↗

InitialTableau(IntegerPartition)The standard tableau of the shape filled row by row with 1, 2, ..., n.

Typed signatures

Type	Package	Applies
(integer_partition) -> standard_tableau	combinatorics	always

Domain: Combinatorial maps

Details

• Takes a IntegerPartition and returns a StandardTableau — a typed map, so a wrong carrier is a type error rather than a wrong answer.
• FindStat's Mp00042. Injective.

Examples

Basic #

the partition $4 + 2 + 1$

live ↗

In$\mathrm{InitialTableau}({\operatorname{IntegerPartition}}([4, 2, 1]))$Out${\operatorname{StandardTableau}}([[1, 2, 3, 4], [5, 6], [7]])$

About

Examples	1
Crosswalk	FindStat