LehmerCodeToMajorCode

The permutation whose major code is this permutation's Lehmer code.

FindStatMp00062via Permutation↗

LehmerCodeToMajorCode(Permutation)The permutation whose major code is this permutation's Lehmer code.

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 Mp00062. It carries the inversion count to the major index; the inverse is MajorCodeToLehmerCode.

Examples

Basic #

the one-line word $231$

live ↗

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

About

Examples	1
Crosswalk	FindStat