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Identifier
Values
=>
Cc0005;cc-rep
[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 [1,0,1,1,1,1,0,0,0,0,1,0]=>15 [1,0,1,1,1,1,0,0,0,1,0,0]=>16 [1,0,1,1,1,1,0,0,1,0,0,0]=>15 [1,0,1,1,1,1,0,1,0,0,0,0]=>12 [1,0,1,1,1,1,1,0,0,0,0,0]=>8 [1,1,0,0,1,0,1,0,1,0,1,0]=>12 [1,1,0,0,1,0,1,0,1,1,0,0]=>11 [1,1,0,0,1,0,1,1,0,0,1,0]=>13 [1,1,0,0,1,0,1,1,0,1,0,0]=>12 [1,1,0,0,1,0,1,1,1,0,0,0]=>10 [1,1,0,0,1,1,0,0,1,0,1,0]=>13 [1,1,0,0,1,1,0,0,1,1,0,0]=>13 [1,1,0,0,1,1,0,1,0,0,1,0]=>14 [1,1,0,0,1,1,0,1,0,1,0,0]=>13 [1,1,0,0,1,1,0,1,1,0,0,0]=>11 [1,1,0,0,1,1,1,0,0,0,1,0]=>15 [1,1,0,0,1,1,1,0,0,1,0,0]=>15 [1,1,0,0,1,1,1,0,1,0,0,0]=>12 [1,1,0,0,1,1,1,1,0,0,0,0]=>10 [1,1,0,1,0,0,1,0,1,0,1,0]=>13 [1,1,0,1,0,0,1,0,1,1,0,0]=>12 [1,1,0,1,0,0,1,1,0,0,1,0]=>15 [1,1,0,1,0,0,1,1,0,1,0,0]=>13 [1,1,0,1,0,0,1,1,1,0,0,0]=>12 [1,1,0,1,0,1,0,0,1,0,1,0]=>14 [1,1,0,1,0,1,0,0,1,1,0,0]=>14 [1,1,0,1,0,1,0,1,0,0,1,0]=>16 [1,1,0,1,0,1,0,1,0,1,0,0]=>15 [1,1,0,1,0,1,0,1,1,0,0,0]=>13 [1,1,0,1,0,1,1,0,0,0,1,0]=>16 [1,1,0,1,0,1,1,0,0,1,0,0]=>16 [1,1,0,1,0,1,1,0,1,0,0,0]=>14 [1,1,0,1,0,1,1,1,0,0,0,0]=>11 [1,1,0,1,1,0,0,0,1,0,1,0]=>13 [1,1,0,1,1,0,0,0,1,1,0,0]=>14 [1,1,0,1,1,0,0,1,0,0,1,0]=>16 [1,1,0,1,1,0,0,1,0,1,0,0]=>16 [1,1,0,1,1,0,0,1,1,0,0,0]=>14 [1,1,0,1,1,0,1,0,0,0,1,0]=>17 [1,1,0,1,1,0,1,0,0,1,0,0]=>17 [1,1,0,1,1,0,1,0,1,0,0,0]=>15 [1,1,0,1,1,0,1,1,0,0,0,0]=>12 [1,1,0,1,1,1,0,0,0,0,1,0]=>16 [1,1,0,1,1,1,0,0,0,1,0,0]=>17 [1,1,0,1,1,1,0,0,1,0,0,0]=>16 [1,1,0,1,1,1,0,1,0,0,0,0]=>13 [1,1,0,1,1,1,1,0,0,0,0,0]=>9 [1,1,1,0,0,0,1,0,1,0,1,0]=>12 [1,1,1,0,0,0,1,0,1,1,0,0]=>11 [1,1,1,0,0,0,1,1,0,0,1,0]=>15 [1,1,1,0,0,0,1,1,0,1,0,0]=>12 [1,1,1,0,0,0,1,1,1,0,0,0]=>12 [1,1,1,0,0,1,0,0,1,0,1,0]=>14 [1,1,1,0,0,1,0,0,1,1,0,0]=>14 [1,1,1,0,0,1,0,1,0,0,1,0]=>17 [1,1,1,0,0,1,0,1,0,1,0,0]=>15 [1,1,1,0,0,1,0,1,1,0,0,0]=>14 [1,1,1,0,0,1,1,0,0,0,1,0]=>17 [1,1,1,0,0,1,1,0,0,1,0,0]=>16 [1,1,1,0,0,1,1,0,1,0,0,0]=>15 [1,1,1,0,0,1,1,1,0,0,0,0]=>12 [1,1,1,0,1,0,0,0,1,0,1,0]=>14 [1,1,1,0,1,0,0,0,1,1,0,0]=>15 [1,1,1,0,1,0,0,1,0,0,1,0]=>17 [1,1,1,0,1,0,0,1,0,1,0,0]=>17 [1,1,1,0,1,0,0,1,1,0,0,0]=>15 [1,1,1,0,1,0,1,0,0,0,1,0]=>18 [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]=>16 [1,1,1,0,1,0,1,1,0,0,0,0]=>13 [1,1,1,0,1,1,0,0,0,0,1,0]=>17 [1,1,1,0,1,1,0,0,0,1,0,0]=>18 [1,1,1,0,1,1,0,0,1,0,0,0]=>17 [1,1,1,0,1,1,0,1,0,0,0,0]=>14 [1,1,1,0,1,1,1,0,0,0,0,0]=>10 [1,1,1,1,0,0,0,0,1,0,1,0]=>12 [1,1,1,1,0,0,0,0,1,1,0,0]=>14 [1,1,1,1,0,0,0,1,0,0,1,0]=>16 [1,1,1,1,0,0,0,1,0,1,0,0]=>17 [1,1,1,1,0,0,0,1,1,0,0,0]=>15 [1,1,1,1,0,0,1,0,0,0,1,0]=>18 [1,1,1,1,0,0,1,0,0,1,0,0]=>19 [1,1,1,1,0,0,1,0,1,0,0,0]=>17 [1,1,1,1,0,0,1,1,0,0,0,0]=>14 [1,1,1,1,0,1,0,0,0,0,1,0]=>18 [1,1,1,1,0,1,0,0,0,1,0,0]=>19 [1,1,1,1,0,1,0,0,1,0,0,0]=>18 [1,1,1,1,0,1,0,1,0,0,0,0]=>15 [1,1,1,1,0,1,1,0,0,0,0,0]=>11 [1,1,1,1,1,0,0,0,0,0,1,0]=>16 [1,1,1,1,1,0,0,0,0,1,0,0]=>18 [1,1,1,1,1,0,0,0,1,0,0,0]=>18 [1,1,1,1,1,0,0,1,0,0,0,0]=>16 [1,1,1,1,1,0,1,0,0,0,0,0]=>12 [1,1,1,1,1,1,0,0,0,0,0,0]=>7
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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