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Identifier
Values
=>
Cc0005;cc-rep
[1,0]=>3 [1,0,1,0]=>4 [1,1,0,0]=>6 [1,0,1,0,1,0]=>5 [1,0,1,1,0,0]=>6 [1,1,0,0,1,0]=>7 [1,1,0,1,0,0]=>7 [1,1,1,0,0,0]=>10 [1,0,1,0,1,0,1,0]=>6 [1,0,1,0,1,1,0,0]=>7 [1,0,1,1,0,0,1,0]=>7 [1,0,1,1,0,1,0,0]=>7 [1,0,1,1,1,0,0,0]=>9 [1,1,0,0,1,0,1,0]=>8 [1,1,0,0,1,1,0,0]=>9 [1,1,0,1,0,0,1,0]=>8 [1,1,0,1,0,1,0,0]=>8 [1,1,0,1,1,0,0,0]=>9 [1,1,1,0,0,0,1,0]=>11 [1,1,1,0,0,1,0,0]=>11 [1,1,1,0,1,0,0,0]=>11 [1,1,1,1,0,0,0,0]=>15 [1,0,1,0,1,0,1,0,1,0]=>7 [1,0,1,0,1,0,1,1,0,0]=>8 [1,0,1,0,1,1,0,0,1,0]=>8 [1,0,1,0,1,1,0,1,0,0]=>8 [1,0,1,0,1,1,1,0,0,0]=>10 [1,0,1,1,0,0,1,0,1,0]=>8 [1,0,1,1,0,0,1,1,0,0]=>9 [1,0,1,1,0,1,0,0,1,0]=>8 [1,0,1,1,0,1,0,1,0,0]=>8 [1,0,1,1,0,1,1,0,0,0]=>9 [1,0,1,1,1,0,0,0,1,0]=>10 [1,0,1,1,1,0,0,1,0,0]=>10 [1,0,1,1,1,0,1,0,0,0]=>10 [1,0,1,1,1,1,0,0,0,0]=>13 [1,1,0,0,1,0,1,0,1,0]=>9 [1,1,0,0,1,0,1,1,0,0]=>10 [1,1,0,0,1,1,0,0,1,0]=>10 [1,1,0,0,1,1,0,1,0,0]=>10 [1,1,0,0,1,1,1,0,0,0]=>12 [1,1,0,1,0,0,1,0,1,0]=>9 [1,1,0,1,0,0,1,1,0,0]=>10 [1,1,0,1,0,1,0,0,1,0]=>9 [1,1,0,1,0,1,0,1,0,0]=>9 [1,1,0,1,0,1,1,0,0,0]=>10 [1,1,0,1,1,0,0,0,1,0]=>10 [1,1,0,1,1,0,0,1,0,0]=>10 [1,1,0,1,1,0,1,0,0,0]=>10 [1,1,0,1,1,1,0,0,0,0]=>12 [1,1,1,0,0,0,1,0,1,0]=>12 [1,1,1,0,0,0,1,1,0,0]=>13 [1,1,1,0,0,1,0,0,1,0]=>12 [1,1,1,0,0,1,0,1,0,0]=>12 [1,1,1,0,0,1,1,0,0,0]=>13 [1,1,1,0,1,0,0,0,1,0]=>12 [1,1,1,0,1,0,0,1,0,0]=>12 [1,1,1,0,1,0,1,0,0,0]=>12 [1,1,1,0,1,1,0,0,0,0]=>13 [1,1,1,1,0,0,0,0,1,0]=>16 [1,1,1,1,0,0,0,1,0,0]=>16 [1,1,1,1,0,0,1,0,0,0]=>16 [1,1,1,1,0,1,0,0,0,0]=>16 [1,1,1,1,1,0,0,0,0,0]=>21
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Description
The number of indecomposable modules with projective dimension at most 1 in the Nakayama algebra corresponding to the Dyck path.
Code

DeclareOperation("numbersprojdim1", [IsList]);

InstallMethod(numbersprojdim1, "for a representation of a quiver", [IsList],0,function(L)


local list, n, temp1, Liste_d, j, i, k, r, kk;


list:=L;

A:=NakayamaAlgebra(GF(3),list);
L:=ARQuiver([A,1000])[2];
LL:=Filtered(L,x->ProjDimensionOfModule(x,1)<=1);
return(Size(LL));
end
);

Created
Oct 27, 2017 at 20:35 by Rene Marczinzik
Updated
Oct 27, 2017 at 20:35 by Rene Marczinzik