Identifier
Values
[2] => [1,1,0,0,1,0] => 0
[1,1] => [1,0,1,1,0,0] => 1
[3] => [1,1,1,0,0,0,1,0] => 1
[2,1] => [1,0,1,0,1,0] => 0
[1,1,1] => [1,0,1,1,1,0,0,0] => 1
[4] => [1,1,1,1,0,0,0,0,1,0] => 1
[3,1] => [1,1,0,1,0,0,1,0] => 0
[2,2] => [1,1,0,0,1,1,0,0] => 1
[2,1,1] => [1,0,1,1,0,1,0,0] => 1
[1,1,1,1] => [1,0,1,1,1,1,0,0,0,0] => 1
[4,1] => [1,1,1,0,1,0,0,0,1,0] => 1
[3,2] => [1,1,0,0,1,0,1,0] => 0
[3,1,1] => [1,0,1,1,0,0,1,0] => 0
[2,2,1] => [1,0,1,0,1,1,0,0] => 1
[2,1,1,1] => [1,0,1,1,1,0,1,0,0,0] => 1
[4,2] => [1,1,1,0,0,1,0,0,1,0] => 0
[4,1,1] => [1,1,0,1,1,0,0,0,1,0] => 1
[3,3] => [1,1,1,0,0,0,1,1,0,0] => 1
[3,2,1] => [1,0,1,0,1,0,1,0] => 0
[3,1,1,1] => [1,0,1,1,1,0,0,1,0,0] => 1
[2,2,2] => [1,1,0,0,1,1,1,0,0,0] => 1
[2,2,1,1] => [1,0,1,1,0,1,1,0,0,0] => 1
[4,3] => [1,1,1,0,0,0,1,0,1,0] => 1
[4,2,1] => [1,1,0,1,0,1,0,0,1,0] => 0
[4,1,1,1] => [1,0,1,1,1,0,0,0,1,0] => 1
[3,3,1] => [1,1,0,1,0,0,1,1,0,0] => 1
[3,2,2] => [1,1,0,0,1,1,0,1,0,0] => 1
[3,2,1,1] => [1,0,1,1,0,1,0,1,0,0] => 1
[2,2,2,1] => [1,0,1,0,1,1,1,0,0,0] => 1
[4,3,1] => [1,1,0,1,0,0,1,0,1,0] => 0
[4,2,2] => [1,1,0,0,1,1,0,0,1,0] => 0
[4,2,1,1] => [1,0,1,1,0,1,0,0,1,0] => 0
[3,3,2] => [1,1,0,0,1,0,1,1,0,0] => 1
[3,3,1,1] => [1,0,1,1,0,0,1,1,0,0] => 1
[3,2,2,1] => [1,0,1,0,1,1,0,1,0,0] => 1
[4,3,2] => [1,1,0,0,1,0,1,0,1,0] => 0
[4,3,1,1] => [1,0,1,1,0,0,1,0,1,0] => 0
[4,2,2,1] => [1,0,1,0,1,1,0,0,1,0] => 0
[3,3,2,1] => [1,0,1,0,1,0,1,1,0,0] => 1
[4,3,2,1] => [1,0,1,0,1,0,1,0,1,0] => 0
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Description
The global dimension of the algebra $A/AfA$ of the corresponding Nakayama algebra $A$ with minimal left faithful projective-injective module $Af$.
Map
to Dyck path
Description
Sends a partition to the shortest Dyck path tracing the shape of its Ferrers diagram.