TableauDescentWord

Letter i is 1 when entry i + 1 sits in a lower row than entry i.

FindStatMp00134via StandardTableau↗

TableauDescentWord(StandardTableau)Letter i is 1 when entry i + 1 sits in a lower row than entry i.

Typed signatures

Type	Package	Applies
(standard_tableau) -> binary_word	combinatorics	always

Domain: Combinatorial maps

Details

• Takes a StandardTableau and returns a BinaryWord — a typed map, so a wrong carrier is a type error rather than a wrong answer.
• FindStat's Mp00134. The word is one letter shorter than the tableau has entries.

Examples

Basic #

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

live ↗

In$\mathrm{TableauDescentWord}({\operatorname{StandardTableau}}([[1, 3], [2]]))$Out${\operatorname{BinaryWord}}([1, 0])$

About

Examples	1
Crosswalk	FindStat