Identifier
Values
[1] => [1,0] => [2,1] => [2,1] => 1
[1,1] => [1,0,1,0] => [3,1,2] => [1,3,2] => 1
[2] => [1,1,0,0] => [2,3,1] => [2,1,3] => 1
[1,1,1] => [1,0,1,0,1,0] => [4,1,2,3] => [1,2,4,3] => 1
[1,2] => [1,0,1,1,0,0] => [3,1,4,2] => [3,1,4,2] => 2
[2,1] => [1,1,0,0,1,0] => [2,4,1,3] => [2,4,1,3] => 2
[3] => [1,1,1,0,0,0] => [2,3,4,1] => [2,1,3,4] => 1
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Description
The Lowey length of the algebra $A/T$ when $T$ is the 1-tilting module corresponding to the permutation in the Auslander algebra of $K[x]/(x^n)$.
Map
bounce path
Description
The bounce path determined by an integer composition.
Map
Ringel
Description
The Ringel permutation of the LNakayama algebra corresponding to a Dyck path.
Map
cactus evacuation
Description
The cactus evacuation of a permutation.
This is the involution obtained by applying evacuation to the recording tableau, while preserving the insertion tableau.