Identifier
- St001237: Dyck paths ⟶ ℤ
Values
[1,0] => 2
[1,0,1,0] => 3
[1,1,0,0] => 3
[1,0,1,0,1,0] => 4
[1,0,1,1,0,0] => 4
[1,1,0,0,1,0] => 3
[1,1,0,1,0,0] => 4
[1,1,1,0,0,0] => 4
[1,0,1,0,1,0,1,0] => 5
[1,0,1,0,1,1,0,0] => 5
[1,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,0] => 5
[1,0,1,1,1,0,0,0] => 5
[1,1,0,0,1,0,1,0] => 4
[1,1,0,0,1,1,0,0] => 4
[1,1,0,1,0,0,1,0] => 4
[1,1,0,1,0,1,0,0] => 5
[1,1,0,1,1,0,0,0] => 5
[1,1,1,0,0,0,1,0] => 4
[1,1,1,0,0,1,0,0] => 4
[1,1,1,0,1,0,0,0] => 5
[1,1,1,1,0,0,0,0] => 5
[1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,0] => 6
[1,0,1,0,1,1,0,0,1,0] => 5
[1,0,1,0,1,1,0,1,0,0] => 6
[1,0,1,0,1,1,1,0,0,0] => 6
[1,0,1,1,0,0,1,0,1,0] => 5
[1,0,1,1,0,0,1,1,0,0] => 5
[1,0,1,1,0,1,0,0,1,0] => 5
[1,0,1,1,0,1,0,1,0,0] => 6
[1,0,1,1,0,1,1,0,0,0] => 6
[1,0,1,1,1,0,0,0,1,0] => 5
[1,0,1,1,1,0,0,1,0,0] => 5
[1,0,1,1,1,0,1,0,0,0] => 6
[1,0,1,1,1,1,0,0,0,0] => 6
[1,1,0,0,1,0,1,0,1,0] => 5
[1,1,0,0,1,0,1,1,0,0] => 5
[1,1,0,0,1,1,0,0,1,0] => 4
[1,1,0,0,1,1,0,1,0,0] => 5
[1,1,0,0,1,1,1,0,0,0] => 5
[1,1,0,1,0,0,1,0,1,0] => 5
[1,1,0,1,0,0,1,1,0,0] => 5
[1,1,0,1,0,1,0,0,1,0] => 5
[1,1,0,1,0,1,0,1,0,0] => 6
[1,1,0,1,0,1,1,0,0,0] => 6
[1,1,0,1,1,0,0,0,1,0] => 5
[1,1,0,1,1,0,0,1,0,0] => 5
[1,1,0,1,1,0,1,0,0,0] => 6
[1,1,0,1,1,1,0,0,0,0] => 6
[1,1,1,0,0,0,1,0,1,0] => 5
[1,1,1,0,0,0,1,1,0,0] => 5
[1,1,1,0,0,1,0,0,1,0] => 4
[1,1,1,0,0,1,0,1,0,0] => 5
[1,1,1,0,0,1,1,0,0,0] => 5
[1,1,1,0,1,0,0,0,1,0] => 5
[1,1,1,0,1,0,0,1,0,0] => 5
[1,1,1,0,1,0,1,0,0,0] => 6
[1,1,1,0,1,1,0,0,0,0] => 6
[1,1,1,1,0,0,0,0,1,0] => 5
[1,1,1,1,0,0,0,1,0,0] => 5
[1,1,1,1,0,0,1,0,0,0] => 5
[1,1,1,1,0,1,0,0,0,0] => 6
[1,1,1,1,1,0,0,0,0,0] => 6
[1,0,1,0,1,0,1,0,1,0,1,0] => 7
[1,0,1,0,1,0,1,0,1,1,0,0] => 7
[1,0,1,0,1,0,1,1,0,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,1,0,0] => 7
[1,0,1,0,1,0,1,1,1,0,0,0] => 7
[1,0,1,0,1,1,0,0,1,0,1,0] => 6
[1,0,1,0,1,1,0,0,1,1,0,0] => 6
[1,0,1,0,1,1,0,1,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,1,0,0] => 7
[1,0,1,0,1,1,0,1,1,0,0,0] => 7
[1,0,1,0,1,1,1,0,0,0,1,0] => 6
[1,0,1,0,1,1,1,0,0,1,0,0] => 6
[1,0,1,0,1,1,1,0,1,0,0,0] => 7
[1,0,1,0,1,1,1,1,0,0,0,0] => 7
[1,0,1,1,0,0,1,0,1,0,1,0] => 6
[1,0,1,1,0,0,1,0,1,1,0,0] => 6
[1,0,1,1,0,0,1,1,0,0,1,0] => 5
[1,0,1,1,0,0,1,1,0,1,0,0] => 6
[1,0,1,1,0,0,1,1,1,0,0,0] => 6
[1,0,1,1,0,1,0,0,1,0,1,0] => 6
[1,0,1,1,0,1,0,0,1,1,0,0] => 6
[1,0,1,1,0,1,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,0,1,0,1,0,0] => 7
[1,0,1,1,0,1,0,1,1,0,0,0] => 7
[1,0,1,1,0,1,1,0,0,0,1,0] => 6
[1,0,1,1,0,1,1,0,0,1,0,0] => 6
[1,0,1,1,0,1,1,0,1,0,0,0] => 7
[1,0,1,1,0,1,1,1,0,0,0,0] => 7
[1,0,1,1,1,0,0,0,1,0,1,0] => 6
[1,0,1,1,1,0,0,0,1,1,0,0] => 6
[1,0,1,1,1,0,0,1,0,0,1,0] => 5
[1,0,1,1,1,0,0,1,0,1,0,0] => 6
[1,0,1,1,1,0,0,1,1,0,0,0] => 6
[1,0,1,1,1,0,1,0,0,0,1,0] => 6
[1,0,1,1,1,0,1,0,0,1,0,0] => 6
[1,0,1,1,1,0,1,0,1,0,0,0] => 7
[1,0,1,1,1,0,1,1,0,0,0,0] => 7
>>> Load all 196 entries. <<<
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Description
The number of simple modules with injective dimension at most one or dominant dimension at least one.
Code
DeclareOperation("siminjdomdim1", [IsList]);
InstallMethod(siminjdomdim1, "for a representation of a quiver", [IsList],0,function(L)
local A,RegA,J,simA,U,projA,UU,n;
A:=L[1];
U:=SimpleModules(A);
UU:=Filtered(U,x->InjDimensionOfModule(x,30)<=1 or DominantDimensionOfModule(x,30)>=1);
return(Size(UU));
end
);
Created
Jul 28, 2018 at 16:48 by Rene Marczinzik
Updated
Jul 28, 2018 at 16:48 by Rene Marczinzik
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