Catabolism

Remove the first row and column-insert its entries back into the rest, largest first.

FindStatMp00106via StandardTableau↗

Catabolism(StandardTableau)Remove the first row and column-insert its entries back into the rest, largest first.

Typed signatures

Type	Package	Applies
(standard_tableau) -> standard_tableau	combinatorics	always

Domain: Combinatorial maps

Details

• Takes a StandardTableau and returns a StandardTableau — a typed map, so a wrong carrier is a type error rather than a wrong answer.
• FindStat's Mp00106. Not injective: a row and a column of the same size both give the row.

Examples

Basic #

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

live ↗

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

About

Examples	1
Crosswalk	FindStat