Identifier
- St001299: Dyck paths ⟶ ℤ
Values
[1,0] => 1
[1,0,1,0] => 2
[1,1,0,0] => 1
[1,0,1,0,1,0] => 6
[1,0,1,1,0,0] => 2
[1,1,0,0,1,0] => 2
[1,1,0,1,0,0] => 2
[1,1,1,0,0,0] => 1
[1,0,1,0,1,0,1,0] => 24
[1,0,1,0,1,1,0,0] => 6
[1,0,1,1,0,0,1,0] => 4
[1,0,1,1,0,1,0,0] => 6
[1,0,1,1,1,0,0,0] => 2
[1,1,0,0,1,0,1,0] => 6
[1,1,0,0,1,1,0,0] => 2
[1,1,0,1,0,0,1,0] => 6
[1,1,0,1,0,1,0,0] => 6
[1,1,0,1,1,0,0,0] => 2
[1,1,1,0,0,0,1,0] => 2
[1,1,1,0,0,1,0,0] => 2
[1,1,1,0,1,0,0,0] => 2
[1,1,1,1,0,0,0,0] => 1
[1,0,1,0,1,0,1,0,1,0] => 120
[1,0,1,0,1,0,1,1,0,0] => 24
[1,0,1,0,1,1,0,0,1,0] => 12
[1,0,1,0,1,1,0,1,0,0] => 24
[1,0,1,0,1,1,1,0,0,0] => 6
[1,0,1,1,0,0,1,0,1,0] => 12
[1,0,1,1,0,0,1,1,0,0] => 4
[1,0,1,1,0,1,0,0,1,0] => 24
[1,0,1,1,0,1,0,1,0,0] => 24
[1,0,1,1,0,1,1,0,0,0] => 6
[1,0,1,1,1,0,0,0,1,0] => 4
[1,0,1,1,1,0,0,1,0,0] => 4
[1,0,1,1,1,0,1,0,0,0] => 6
[1,0,1,1,1,1,0,0,0,0] => 2
[1,1,0,0,1,0,1,0,1,0] => 24
[1,1,0,0,1,0,1,1,0,0] => 6
[1,1,0,0,1,1,0,0,1,0] => 4
[1,1,0,0,1,1,0,1,0,0] => 6
[1,1,0,0,1,1,1,0,0,0] => 2
[1,1,0,1,0,0,1,0,1,0] => 24
[1,1,0,1,0,0,1,1,0,0] => 6
[1,1,0,1,0,1,0,0,1,0] => 24
[1,1,0,1,0,1,0,1,0,0] => 18
[1,1,0,1,0,1,1,0,0,0] => 6
[1,1,0,1,1,0,0,0,1,0] => 4
[1,1,0,1,1,0,0,1,0,0] => 6
[1,1,0,1,1,0,1,0,0,0] => 6
[1,1,0,1,1,1,0,0,0,0] => 2
[1,1,1,0,0,0,1,0,1,0] => 6
[1,1,1,0,0,0,1,1,0,0] => 2
[1,1,1,0,0,1,0,0,1,0] => 6
[1,1,1,0,0,1,0,1,0,0] => 6
[1,1,1,0,0,1,1,0,0,0] => 2
[1,1,1,0,1,0,0,0,1,0] => 6
[1,1,1,0,1,0,0,1,0,0] => 6
[1,1,1,0,1,0,1,0,0,0] => 6
[1,1,1,0,1,1,0,0,0,0] => 2
[1,1,1,1,0,0,0,0,1,0] => 2
[1,1,1,1,0,0,0,1,0,0] => 2
[1,1,1,1,0,0,1,0,0,0] => 2
[1,1,1,1,0,1,0,0,0,0] => 2
[1,1,1,1,1,0,0,0,0,0] => 1
[1,0,1,0,1,0,1,0,1,0,1,0] => 720
[1,0,1,0,1,0,1,0,1,1,0,0] => 120
[1,0,1,0,1,0,1,1,0,0,1,0] => 48
[1,0,1,0,1,0,1,1,0,1,0,0] => 120
[1,0,1,0,1,0,1,1,1,0,0,0] => 24
[1,0,1,0,1,1,0,0,1,0,1,0] => 36
[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] => 120
[1,0,1,0,1,1,0,1,0,1,0,0] => 120
[1,0,1,0,1,1,0,1,1,0,0,0] => 24
[1,0,1,0,1,1,1,0,0,0,1,0] => 12
[1,0,1,0,1,1,1,0,0,1,0,0] => 12
[1,0,1,0,1,1,1,0,1,0,0,0] => 24
[1,0,1,0,1,1,1,1,0,0,0,0] => 6
[1,0,1,1,0,0,1,0,1,0,1,0] => 48
[1,0,1,1,0,0,1,0,1,1,0,0] => 12
[1,0,1,1,0,0,1,1,0,0,1,0] => 8
[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] => 4
[1,0,1,1,0,1,0,0,1,0,1,0] => 120
[1,0,1,1,0,1,0,0,1,1,0,0] => 24
[1,0,1,1,0,1,0,1,0,0,1,0] => 120
[1,0,1,1,0,1,0,1,0,1,0,0] => 72
[1,0,1,1,0,1,0,1,1,0,0,0] => 24
[1,0,1,1,0,1,1,0,0,0,1,0] => 12
[1,0,1,1,0,1,1,0,0,1,0,0] => 24
[1,0,1,1,0,1,1,0,1,0,0,0] => 24
[1,0,1,1,0,1,1,1,0,0,0,0] => 6
[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] => 4
[1,0,1,1,1,0,0,1,0,0,1,0] => 12
[1,0,1,1,1,0,0,1,0,1,0,0] => 12
[1,0,1,1,1,0,0,1,1,0,0,0] => 4
[1,0,1,1,1,0,1,0,0,0,1,0] => 24
[1,0,1,1,1,0,1,0,0,1,0,0] => 24
[1,0,1,1,1,0,1,0,1,0,0,0] => 24
[1,0,1,1,1,0,1,1,0,0,0,0] => 6
>>> Load all 196 entries. <<<
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Description
The product of all non-zero projective dimensions of simple modules of the corresponding Nakayama algebra.
Code
DeclareOperation("productpdsim",[IsList]);
InstallMethod(productpdsim, "for a representation of a quiver", [IsList],0,function(LIST)
local A,simA,U;
A:=LIST[1];
simA:=Filtered(SimpleModules(A),x->IsProjectiveModule(x)=false);
U:=[];for i in simA do Append(U,[ProjDimensionOfModule(i,110)]);od;
return(Product(U));
end);
Created
Dec 05, 2018 at 13:45 by Rene Marczinzik
Updated
Dec 05, 2018 at 13:45 by Rene Marczinzik
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