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Standardization ​

The permutation of the same relative order, taking 1 < … < n < −n < … < −1.

Standardization(SignedPermutation)The permutation of the same relative order, taking 1 < … < n < −n < … < −1.
Typed signatures
TypePackageApplies
(signed_permutation) -> permutationcombinatoricsalways

Domain: Combinatorial maps

Details
  • Takes a SignedPermutation and returns a Permutation — a typed map, so a wrong carrier is a type error rather than a wrong answer.
  • FindStat's Mp00245.

Examples

Basic #

the signed permutation 2 3ˉ 12\,\bar 3\,1

live ↗
InStandardization(SignedPermutation⁡([2,−3,1]))\mathrm{Standardization}({\operatorname{SignedPermutation}}([2, -3, 1]))OutPermutation⁡([2,3,1]){\operatorname{Permutation}}([2, 3, 1])
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