Identifier
Values
[1,0] => [1,1,0,0] => [2,3,1] => 1
[1,0,1,0] => [1,1,0,1,0,0] => [4,3,1,2] => 1
[1,1,0,0] => [1,1,1,0,0,0] => [2,3,4,1] => 3
[] => [1,0] => [2,1] => 0
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Description
The grades of the simple modules corresponding to the points in the poset of the symmetric group under the Bruhat order.
Map
prime Dyck path
Description
Return the Dyck path obtained by adding an initial up and a final down step.
Map
Ringel
Description
The Ringel permutation of the LNakayama algebra corresponding to a Dyck path.