Identifier
Values
[1] => [1,0,1,0] => [3,1,2] => 2
[2] => [1,1,0,0,1,0] => [2,4,1,3] => 2
[1,1] => [1,0,1,1,0,0] => [3,1,4,2] => 2
[2,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
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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
Ringel
Description
The Ringel permutation of the LNakayama algebra corresponding to a Dyck path.
Map
to Dyck path
Description
Sends a partition to the shortest Dyck path tracing the shape of its Ferrers diagram.