CactusEvacuation

The permutation with the same insertion tableau and the evacuation of the recording tableau.

FindStatMp00126via Permutation↗

CactusEvacuation(Permutation)The permutation with the same insertion tableau and the evacuation of the recording tableau.

Typed signatures

Type	Package	Applies
(permutation) -> permutation	combinatorics	always

Domain: Combinatorial maps

Details

• Takes a Permutation and returns a Permutation — a typed map, so a wrong carrier is a type error rather than a wrong answer.
• FindStat's Mp00126, an involution: RSK, evacuate the recording tableau, RSK backwards.

Examples

Basic #

the one-line word $231$

live ↗

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

About

Examples	1
Crosswalk	FindStat