**Identifier**

**28 maps**with codomain

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

**Alternating sign matrices**(1 maps) # matrix like objects

Mp00002Alternating sign matrices ⟶ Permutations

to left key permutation

**Binary trees**(2 maps) # tree like structures # Catalan objects # graph like objects

**Dyck paths**(6 maps) # Catalan objects # path like objects

Mp00023Dyck paths ⟶ Permutations

to non-crossing permutation

Mp00024Dyck paths ⟶ Permutations

to 321-avoiding permutation

Mp00025Dyck paths ⟶ Permutations

to 132-avoiding permutation

Mp00031Dyck paths ⟶ Permutations

to 312-avoiding permutation

Mp00119Dyck paths ⟶ Permutations

to 321-avoiding permutation (Krattenthaler)

Mp00129Dyck paths ⟶ Permutations

to 321-avoiding permutation (Billey-Jockusch-Stanley)

**Parking functions**(2 maps) # word like objects # path like objects

**Perfect matchings**(1 maps) # graph like objects

Mp00058Perfect matchings ⟶ Permutations

to permutation

**Permutations**(13 maps) # word like objects

Mp00062Permutations ⟶ Permutations

Lehmer-code to major-code bijection

Mp00064Permutations ⟶ Permutations

reverse

Mp00066Permutations ⟶ Permutations

inverse

Mp00067Permutations ⟶ Permutations

Foata bijection

Mp00068Permutations ⟶ Permutations

Simion-Schmidt map

Mp00069Permutations ⟶ Permutations

complement

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

Mp00126Permutations ⟶ Permutations

cactus evacuation

**Semistandard tableaux**(1 maps) # tableau like objects

Mp00075Semistandard tableaux ⟶ Permutations

reading word permutation

**Set partitions**(1 maps) # partition like objects

Mp00080Set partitions ⟶ Permutations

to permutation

**Standard tableaux**(1 maps) # tableau like objects

Mp00081Standard tableaux ⟶ Permutations

reading word permutation