Processing math: 100%

Identifier
Values
[2] => 100 => [1,2] => [1,0,1,1,0,0] => 1
[1,1] => 110 => [2,1] => [1,1,0,0,1,0] => 0
[3] => 1000 => [1,3] => [1,0,1,1,1,0,0,0] => 1
[2,1] => 1010 => [1,1,1,1] => [1,0,1,0,1,0,1,0] => 0
[1,1,1] => 1110 => [3,1] => [1,1,1,0,0,0,1,0] => 1
[4] => 10000 => [1,4] => [1,0,1,1,1,1,0,0,0,0] => 1
[3,1] => 10010 => [1,2,1,1] => [1,0,1,1,0,0,1,0,1,0] => 0
[2,2] => 1100 => [2,2] => [1,1,0,0,1,1,0,0] => 1
[2,1,1] => 10110 => [1,1,2,1] => [1,0,1,0,1,1,0,0,1,0] => 0
[1,1,1,1] => 11110 => [4,1] => [1,1,1,1,0,0,0,0,1,0] => 1
[3,2] => 10100 => [1,1,1,2] => [1,0,1,0,1,0,1,1,0,0] => 1
[2,2,1] => 11010 => [2,1,1,1] => [1,1,0,0,1,0,1,0,1,0] => 0
[3,3] => 11000 => [2,3] => [1,1,0,0,1,1,1,0,0,0] => 1
[2,2,2] => 11100 => [3,2] => [1,1,1,0,0,0,1,1,0,0] => 1
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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 binary word
Description
Return the partition as binary word, by traversing its shape from the first row to the last row, down steps as 1 and left steps as 0.
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.