TableauShape

The shape of a standard tableau: its row lengths.

FindStatMp00083via StandardTableau↗

TableauShape(StandardTableau)The shape of a standard tableau: its row lengths.

Typed signatures

Type	Package	Applies
(standard_tableau) -> integer_partition	combinatorics	always

Domain: Combinatorial maps

Details

• Takes a StandardTableau and returns a IntegerPartition — a typed map, so a wrong carrier is a type error rather than a wrong answer.
• Lossy: the entries are forgotten, so it is not a constructor overload.

Examples

Basic #

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

live ↗

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

About

Examples	1
Crosswalk	FindStat