**Identifier**

**27 maps**with domain

**Permutations**in the database. There are possibly some more waiting for verification.

Mp00059Permutations ⟶ Standard tableaux

Robinson-Schensted insertion tableau

Mp00060Permutations ⟶ Integer partitions

Robinson-Schensted tableau shape

Mp00061Permutations ⟶ Binary trees

to increasing tree

Mp00062Permutations ⟶ Permutations

Lehmer-code to major-code bijection

Mp00063Permutations ⟶ Alternating sign matrices

to alternating sign matrix

Mp00064Permutations ⟶ Permutations

reverse

Mp00065Permutations ⟶ Posets

permutation poset

Mp00066Permutations ⟶ Permutations

inverse

Mp00067Permutations ⟶ Permutations

Foata bijection

Mp00068Permutations ⟶ Permutations

Simion-Schmidt map

Mp00069Permutations ⟶ Permutations

complement

Mp00070Permutations ⟶ Standard tableaux

Robinson-Schensted recording tableau

Mp00071Permutations ⟶ Integer compositions

descent composition

Mp00072Permutations ⟶ Binary trees

binary search tree: left to right

Mp00073Permutations ⟶ Permutations

major-index to inversion-number bijection

Mp00086Permutations ⟶ Permutations

first fundamental transformation

Mp00087Permutations ⟶ Permutations

inverse first fundamental transformation

Mp00088Permutations ⟶ Permutations

Kreweras complement

Mp00089Permutations ⟶ Permutations

Inverse Kreweras complement

Mp00090Permutations ⟶ Permutations

cycle-as-one-line notation

Mp00108Permutations ⟶ Integer partitions

cycle type

Mp00109Permutations ⟶ Binary words

descent word

Mp00114Permutations ⟶ Binary words

connectivity set

Mp00126Permutations ⟶ Permutations

cactus evacuation

Mp00127Permutations ⟶ Dyck paths

left-to-right-maxima to Dyck path

Mp00130Permutations ⟶ Binary words

descent tops

Mp00131Permutations ⟶ Binary words

descent bottoms