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Identifier
Values
=>
Cc0005;cc-rep
[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 [1,0,1,1,1,1,0,0,0,0,1,0]=>4 [1,0,1,1,1,1,0,0,0,1,0,0]=>4 [1,0,1,1,1,1,0,0,1,0,0,0]=>4 [1,0,1,1,1,1,0,1,0,0,0,0]=>6 [1,0,1,1,1,1,1,0,0,0,0,0]=>2 [1,1,0,0,1,0,1,0,1,0,1,0]=>120 [1,1,0,0,1,0,1,0,1,1,0,0]=>24 [1,1,0,0,1,0,1,1,0,0,1,0]=>12 [1,1,0,0,1,0,1,1,0,1,0,0]=>24 [1,1,0,0,1,0,1,1,1,0,0,0]=>6 [1,1,0,0,1,1,0,0,1,0,1,0]=>12 [1,1,0,0,1,1,0,0,1,1,0,0]=>4 [1,1,0,0,1,1,0,1,0,0,1,0]=>24 [1,1,0,0,1,1,0,1,0,1,0,0]=>24 [1,1,0,0,1,1,0,1,1,0,0,0]=>6 [1,1,0,0,1,1,1,0,0,0,1,0]=>4 [1,1,0,0,1,1,1,0,0,1,0,0]=>4 [1,1,0,0,1,1,1,0,1,0,0,0]=>6 [1,1,0,0,1,1,1,1,0,0,0,0]=>2 [1,1,0,1,0,0,1,0,1,0,1,0]=>120 [1,1,0,1,0,0,1,0,1,1,0,0]=>24 [1,1,0,1,0,0,1,1,0,0,1,0]=>12 [1,1,0,1,0,0,1,1,0,1,0,0]=>24 [1,1,0,1,0,0,1,1,1,0,0,0]=>6 [1,1,0,1,0,1,0,0,1,0,1,0]=>120 [1,1,0,1,0,1,0,0,1,1,0,0]=>24 [1,1,0,1,0,1,0,1,0,0,1,0]=>72 [1,1,0,1,0,1,0,1,0,1,0,0]=>72 [1,1,0,1,0,1,0,1,1,0,0,0]=>18 [1,1,0,1,0,1,1,0,0,0,1,0]=>12 [1,1,0,1,0,1,1,0,0,1,0,0]=>24 [1,1,0,1,0,1,1,0,1,0,0,0]=>18 [1,1,0,1,0,1,1,1,0,0,0,0]=>6 [1,1,0,1,1,0,0,0,1,0,1,0]=>12 [1,1,0,1,1,0,0,0,1,1,0,0]=>4 [1,1,0,1,1,0,0,1,0,0,1,0]=>24 [1,1,0,1,1,0,0,1,0,1,0,0]=>24 [1,1,0,1,1,0,0,1,1,0,0,0]=>6 [1,1,0,1,1,0,1,0,0,0,1,0]=>24 [1,1,0,1,1,0,1,0,0,1,0,0]=>24 [1,1,0,1,1,0,1,0,1,0,0,0]=>18 [1,1,0,1,1,0,1,1,0,0,0,0]=>6 [1,1,0,1,1,1,0,0,0,0,1,0]=>4 [1,1,0,1,1,1,0,0,0,1,0,0]=>4 [1,1,0,1,1,1,0,0,1,0,0,0]=>6 [1,1,0,1,1,1,0,1,0,0,0,0]=>6 [1,1,0,1,1,1,1,0,0,0,0,0]=>2 [1,1,1,0,0,0,1,0,1,0,1,0]=>24 [1,1,1,0,0,0,1,0,1,1,0,0]=>6 [1,1,1,0,0,0,1,1,0,0,1,0]=>4 [1,1,1,0,0,0,1,1,0,1,0,0]=>6 [1,1,1,0,0,0,1,1,1,0,0,0]=>2 [1,1,1,0,0,1,0,0,1,0,1,0]=>24 [1,1,1,0,0,1,0,0,1,1,0,0]=>6 [1,1,1,0,0,1,0,1,0,0,1,0]=>24 [1,1,1,0,0,1,0,1,0,1,0,0]=>18 [1,1,1,0,0,1,0,1,1,0,0,0]=>6 [1,1,1,0,0,1,1,0,0,0,1,0]=>4 [1,1,1,0,0,1,1,0,0,1,0,0]=>6 [1,1,1,0,0,1,1,0,1,0,0,0]=>6 [1,1,1,0,0,1,1,1,0,0,0,0]=>2 [1,1,1,0,1,0,0,0,1,0,1,0]=>24 [1,1,1,0,1,0,0,0,1,1,0,0]=>6 [1,1,1,0,1,0,0,1,0,0,1,0]=>24 [1,1,1,0,1,0,0,1,0,1,0,0]=>18 [1,1,1,0,1,0,0,1,1,0,0,0]=>6 [1,1,1,0,1,0,1,0,0,0,1,0]=>24 [1,1,1,0,1,0,1,0,0,1,0,0]=>18 [1,1,1,0,1,0,1,0,1,0,0,0]=>18 [1,1,1,0,1,0,1,1,0,0,0,0]=>6 [1,1,1,0,1,1,0,0,0,0,1,0]=>4 [1,1,1,0,1,1,0,0,0,1,0,0]=>6 [1,1,1,0,1,1,0,0,1,0,0,0]=>6 [1,1,1,0,1,1,0,1,0,0,0,0]=>6 [1,1,1,0,1,1,1,0,0,0,0,0]=>2 [1,1,1,1,0,0,0,0,1,0,1,0]=>6 [1,1,1,1,0,0,0,0,1,1,0,0]=>2 [1,1,1,1,0,0,0,1,0,0,1,0]=>6 [1,1,1,1,0,0,0,1,0,1,0,0]=>6 [1,1,1,1,0,0,0,1,1,0,0,0]=>2 [1,1,1,1,0,0,1,0,0,0,1,0]=>6 [1,1,1,1,0,0,1,0,0,1,0,0]=>6 [1,1,1,1,0,0,1,0,1,0,0,0]=>6 [1,1,1,1,0,0,1,1,0,0,0,0]=>2 [1,1,1,1,0,1,0,0,0,0,1,0]=>6 [1,1,1,1,0,1,0,0,0,1,0,0]=>6 [1,1,1,1,0,1,0,0,1,0,0,0]=>6 [1,1,1,1,0,1,0,1,0,0,0,0]=>6 [1,1,1,1,0,1,1,0,0,0,0,0]=>2 [1,1,1,1,1,0,0,0,0,0,1,0]=>2 [1,1,1,1,1,0,0,0,0,1,0,0]=>2 [1,1,1,1,1,0,0,0,1,0,0,0]=>2 [1,1,1,1,1,0,0,1,0,0,0,0]=>2 [1,1,1,1,1,0,1,0,0,0,0,0]=>2 [1,1,1,1,1,1,0,0,0,0,0,0]=>1
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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