Identifier
Values
0 => [1] => [1,0] => [2,1] => 1
1 => [1] => [1,0] => [2,1] => 1
00 => [2] => [1,1,0,0] => [2,3,1] => 2
01 => [1,1] => [1,0,1,0] => [3,1,2] => 2
10 => [1,1] => [1,0,1,0] => [3,1,2] => 2
11 => [2] => [1,1,0,0] => [2,3,1] => 2
000 => [3] => [1,1,1,0,0,0] => [2,3,4,1] => 3
001 => [2,1] => [1,1,0,0,1,0] => [2,4,1,3] => 2
010 => [1,1,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
011 => [1,2] => [1,0,1,1,0,0] => [3,1,4,2] => 2
100 => [1,2] => [1,0,1,1,0,0] => [3,1,4,2] => 2
101 => [1,1,1] => [1,0,1,0,1,0] => [4,1,2,3] => 3
110 => [2,1] => [1,1,0,0,1,0] => [2,4,1,3] => 2
111 => [3] => [1,1,1,0,0,0] => [2,3,4,1] => 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
bounce path
Description
The bounce path determined by an integer composition.
Map
delta morphism
Description
Applies the delta morphism to a binary word.
The delta morphism of a finite word $w$ is the integer compositions composed of the lengths of consecutive runs of the same letter in $w$.
Map
Ringel
Description
The Ringel permutation of the LNakayama algebra corresponding to a Dyck path.