Identifier
- St001259: Dyck paths ⟶ ℤ
Values
[1,0] => 2
[1,0,1,0] => 4
[1,1,0,0] => 3
[1,0,1,0,1,0] => 6
[1,0,1,1,0,0] => 5
[1,1,0,0,1,0] => 7
[1,1,0,1,0,0] => 6
[1,1,1,0,0,0] => 4
[1,0,1,0,1,0,1,0] => 8
[1,0,1,0,1,1,0,0] => 7
[1,0,1,1,0,0,1,0] => 9
[1,0,1,1,0,1,0,0] => 8
[1,0,1,1,1,0,0,0] => 6
[1,1,0,0,1,0,1,0] => 8
[1,1,0,0,1,1,0,0] => 8
[1,1,0,1,0,0,1,0] => 10
[1,1,0,1,0,1,0,0] => 9
[1,1,0,1,1,0,0,0] => 7
[1,1,1,0,0,0,1,0] => 10
[1,1,1,0,0,1,0,0] => 10
[1,1,1,0,1,0,0,0] => 8
[1,1,1,1,0,0,0,0] => 5
[1,0,1,0,1,0,1,0,1,0] => 10
[1,0,1,0,1,0,1,1,0,0] => 9
[1,0,1,0,1,1,0,0,1,0] => 11
[1,0,1,0,1,1,0,1,0,0] => 10
[1,0,1,0,1,1,1,0,0,0] => 8
[1,0,1,1,0,0,1,0,1,0] => 10
[1,0,1,1,0,0,1,1,0,0] => 10
[1,0,1,1,0,1,0,0,1,0] => 12
[1,0,1,1,0,1,0,1,0,0] => 11
[1,0,1,1,0,1,1,0,0,0] => 9
[1,0,1,1,1,0,0,0,1,0] => 12
[1,0,1,1,1,0,0,1,0,0] => 12
[1,0,1,1,1,0,1,0,0,0] => 10
[1,0,1,1,1,1,0,0,0,0] => 7
[1,1,0,0,1,0,1,0,1,0] => 10
[1,1,0,0,1,0,1,1,0,0] => 9
[1,1,0,0,1,1,0,0,1,0] => 12
[1,1,0,0,1,1,0,1,0,0] => 10
[1,1,0,0,1,1,1,0,0,0] => 9
[1,1,0,1,0,0,1,0,1,0] => 11
[1,1,0,1,0,0,1,1,0,0] => 11
[1,1,0,1,0,1,0,0,1,0] => 13
[1,1,0,1,0,1,0,1,0,0] => 12
[1,1,0,1,0,1,1,0,0,0] => 10
[1,1,0,1,1,0,0,0,1,0] => 13
[1,1,0,1,1,0,0,1,0,0] => 13
[1,1,0,1,1,0,1,0,0,0] => 11
[1,1,0,1,1,1,0,0,0,0] => 8
[1,1,1,0,0,0,1,0,1,0] => 10
[1,1,1,0,0,0,1,1,0,0] => 11
[1,1,1,0,0,1,0,0,1,0] => 13
[1,1,1,0,0,1,0,1,0,0] => 13
[1,1,1,0,0,1,1,0,0,0] => 11
[1,1,1,0,1,0,0,0,1,0] => 14
[1,1,1,0,1,0,0,1,0,0] => 14
[1,1,1,0,1,0,1,0,0,0] => 12
[1,1,1,0,1,1,0,0,0,0] => 9
[1,1,1,1,0,0,0,0,1,0] => 13
[1,1,1,1,0,0,0,1,0,0] => 14
[1,1,1,1,0,0,1,0,0,0] => 13
[1,1,1,1,0,1,0,0,0,0] => 10
[1,1,1,1,1,0,0,0,0,0] => 6
[1,0,1,0,1,0,1,0,1,0,1,0] => 12
[1,0,1,0,1,0,1,0,1,1,0,0] => 11
[1,0,1,0,1,0,1,1,0,0,1,0] => 13
[1,0,1,0,1,0,1,1,0,1,0,0] => 12
[1,0,1,0,1,0,1,1,1,0,0,0] => 10
[1,0,1,0,1,1,0,0,1,0,1,0] => 12
[1,0,1,0,1,1,0,0,1,1,0,0] => 12
[1,0,1,0,1,1,0,1,0,0,1,0] => 14
[1,0,1,0,1,1,0,1,0,1,0,0] => 13
[1,0,1,0,1,1,0,1,1,0,0,0] => 11
[1,0,1,0,1,1,1,0,0,0,1,0] => 14
[1,0,1,0,1,1,1,0,0,1,0,0] => 14
[1,0,1,0,1,1,1,0,1,0,0,0] => 12
[1,0,1,0,1,1,1,1,0,0,0,0] => 9
[1,0,1,1,0,0,1,0,1,0,1,0] => 12
[1,0,1,1,0,0,1,0,1,1,0,0] => 11
[1,0,1,1,0,0,1,1,0,0,1,0] => 14
[1,0,1,1,0,0,1,1,0,1,0,0] => 12
[1,0,1,1,0,0,1,1,1,0,0,0] => 11
[1,0,1,1,0,1,0,0,1,0,1,0] => 13
[1,0,1,1,0,1,0,0,1,1,0,0] => 13
[1,0,1,1,0,1,0,1,0,0,1,0] => 15
[1,0,1,1,0,1,0,1,0,1,0,0] => 14
[1,0,1,1,0,1,0,1,1,0,0,0] => 12
[1,0,1,1,0,1,1,0,0,0,1,0] => 15
[1,0,1,1,0,1,1,0,0,1,0,0] => 15
[1,0,1,1,0,1,1,0,1,0,0,0] => 13
[1,0,1,1,0,1,1,1,0,0,0,0] => 10
[1,0,1,1,1,0,0,0,1,0,1,0] => 12
[1,0,1,1,1,0,0,0,1,1,0,0] => 13
[1,0,1,1,1,0,0,1,0,0,1,0] => 15
[1,0,1,1,1,0,0,1,0,1,0,0] => 15
[1,0,1,1,1,0,0,1,1,0,0,0] => 13
[1,0,1,1,1,0,1,0,0,0,1,0] => 16
[1,0,1,1,1,0,1,0,0,1,0,0] => 16
[1,0,1,1,1,0,1,0,1,0,0,0] => 14
[1,0,1,1,1,0,1,1,0,0,0,0] => 11
>>> Load all 196 entries. <<<
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Description
The vector space dimension of the double dual of D(A) in the corresponding Nakayama algebra.
Code
DeclareOperation("doubledualda",[IsList]);
InstallMethod(doubledualda, "for a representation of a quiver", [IsList],0,function(LIST)
local A,CoRegA,U;
A:=LIST[1];
CoRegA:=DirectSumOfQPAModules(IndecInjectiveModules(A));
U:=StarOfModule(StarOfModule(CoRegA));
return(Dimension(U));
end);
Created
Sep 15, 2018 at 15:32 by Rene Marczinzik
Updated
Sep 20, 2018 at 09:41 by Rene Marczinzik
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