ReadingWord

The rows read left to right, from the bottom row up, as a permutation.

FindStatMp00081via StandardTableau↗

ReadingWord(StandardTableau)The rows read left to right, from the bottom row up, as a permutation.

Typed signatures

Type	Package	Applies
(standard_tableau) -> permutation	combinatorics	always

Domain: Combinatorial maps

Details

• Takes a StandardTableau and returns a Permutation — a typed map, so a wrong carrier is a type error rather than a wrong answer.
• FindStat's Mp00081, the row reading word. Injective; RskInsertion of it is the tableau back again.

Examples

Basic #

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

live ↗

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

About

Examples	1
Crosswalk	FindStat