ValleyComposition

The composition cut at the valleys: entries i that are ascents after a descent.

FindStatMp00295via StandardTableau↗

ValleyComposition(StandardTableau)The composition cut at the valleys: entries i that are ascents after a descent.

Typed signatures

Type	Package	Applies
(standard_tableau) -> composition	combinatorics	always

Domain: Combinatorial maps

Details

• Takes a StandardTableau and returns a IntegerComposition — a typed map, so a wrong carrier is a type error rather than a wrong answer.
• FindStat's Mp00295.

Examples

Basic #

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

live ↗

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

About

Examples	1
Crosswalk	FindStat