Promotion

Promotion of the Dyck path's two-row standard tableau, read back as a path.

FindStatMp00142via DyckPath↗

Promotion(DyckPath)Promotion of the Dyck path's two-row standard tableau, read back as a path.

Typed signatures

Type	Package	Applies
(dyck_path) -> dyck_path	combinatorics	always

Domain: Combinatorial maps

Details

• Takes a DyckPath and returns a DyckPath — a typed map, so a wrong carrier is a type error rather than a wrong answer.
• FindStat's Mp00142; the inverse is InversePromotion.

Examples

Basic #

the Dyck path $UUDDUD$

live ↗

In$\mathrm{Promotion}({\operatorname{DyckPath}}([1, 1, 0, 0, 1, 0]))$Out${\operatorname{DyckPath}}([1, 1, 1, 0, 0, 0])$

About

Examples	1
Crosswalk	FindStat