MajorCodeToLehmerCode

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

FindStatMp00073via Permutation↗

MajorCodeToLehmerCode(Permutation)The permutation whose Lehmer code is this permutation's major 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 Mp00073. It carries the major index to the inversion count; the inverse is LehmerCodeToMajorCode.

Examples

Basic #

the one-line word $231$

live ↗

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

About

Examples	1
Crosswalk	FindStat