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InverseToricPromotion ​

The same swaps as ToricPromotion in the opposite order: n and 1, then n - 1 and n, down to 1 and 2.

InverseToricPromotion(Permutation)The same swaps as ToricPromotion in the opposite order: n and 1, then n - 1 and n, down to 1 and 2.
Typed signatures
TypePackageApplies
(permutation) -> permutationcombinatoricsalways

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 Mp00309, titled the inverse of toric promotion.

Examples

Basic #

the one-line word 231231

live ↗
InInverseToricPromotion(Permutation⁡([2,3,1]))\mathrm{InverseToricPromotion}({\operatorname{Permutation}}([2, 3, 1]))OutPermutation⁡([1,3,2]){\operatorname{Permutation}}([1, 3, 2])
About
Examples1
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