Identifier
- St001255: Dyck paths ⟶ ℤ
Values
[1,0] => 1
[1,0,1,0] => 3
[1,1,0,0] => 1
[1,0,1,0,1,0] => 4
[1,0,1,1,0,0] => 3
[1,1,0,0,1,0] => 3
[1,1,0,1,0,0] => 4
[1,1,1,0,0,0] => 1
[1,0,1,0,1,0,1,0] => 5
[1,0,1,0,1,1,0,0] => 4
[1,0,1,1,0,0,1,0] => 5
[1,0,1,1,0,1,0,0] => 5
[1,0,1,1,1,0,0,0] => 3
[1,1,0,0,1,0,1,0] => 4
[1,1,0,0,1,1,0,0] => 3
[1,1,0,1,0,0,1,0] => 5
[1,1,0,1,0,1,0,0] => 5
[1,1,0,1,1,0,0,0] => 4
[1,1,1,0,0,0,1,0] => 3
[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] => 1
[1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,1,0,0] => 5
[1,0,1,0,1,1,0,0,1,0] => 6
[1,0,1,0,1,1,0,1,0,0] => 6
[1,0,1,0,1,1,1,0,0,0] => 4
[1,0,1,1,0,0,1,0,1,0] => 6
[1,0,1,1,0,0,1,1,0,0] => 5
[1,0,1,1,0,1,0,0,1,0] => 6
[1,0,1,1,0,1,0,1,0,0] => 6
[1,0,1,1,0,1,1,0,0,0] => 5
[1,0,1,1,1,0,0,0,1,0] => 5
[1,0,1,1,1,0,0,1,0,0] => 6
[1,0,1,1,1,0,1,0,0,0] => 6
[1,0,1,1,1,1,0,0,0,0] => 3
[1,1,0,0,1,0,1,0,1,0] => 5
[1,1,0,0,1,0,1,1,0,0] => 4
[1,1,0,0,1,1,0,0,1,0] => 5
[1,1,0,0,1,1,0,1,0,0] => 5
[1,1,0,0,1,1,1,0,0,0] => 3
[1,1,0,1,0,0,1,0,1,0] => 6
[1,1,0,1,0,0,1,1,0,0] => 5
[1,1,0,1,0,1,0,0,1,0] => 6
[1,1,0,1,0,1,0,1,0,0] => 6
[1,1,0,1,0,1,1,0,0,0] => 5
[1,1,0,1,1,0,0,0,1,0] => 6
[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] => 4
[1,1,1,0,0,0,1,0,1,0] => 4
[1,1,1,0,0,0,1,1,0,0] => 3
[1,1,1,0,0,1,0,0,1,0] => 5
[1,1,1,0,0,1,0,1,0,0] => 5
[1,1,1,0,0,1,1,0,0,0] => 4
[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] => 5
[1,1,1,1,0,0,0,0,1,0] => 3
[1,1,1,1,0,0,0,1,0,0] => 4
[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] => 1
[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] => 6
[1,0,1,0,1,0,1,1,0,0,1,0] => 7
[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] => 5
[1,0,1,0,1,1,0,0,1,0,1,0] => 7
[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] => 7
[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] => 6
[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] => 7
[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] => 4
[1,0,1,1,0,0,1,0,1,0,1,0] => 7
[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] => 7
[1,0,1,1,0,0,1,1,0,1,0,0] => 7
[1,0,1,1,0,0,1,1,1,0,0,0] => 5
[1,0,1,1,0,1,0,0,1,0,1,0] => 7
[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] => 7
[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] => 6
[1,0,1,1,0,1,1,0,0,0,1,0] => 7
[1,0,1,1,0,1,1,0,0,1,0,0] => 7
[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] => 5
[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] => 5
[1,0,1,1,1,0,0,1,0,0,1,0] => 7
[1,0,1,1,1,0,0,1,0,1,0,0] => 7
[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] => 7
[1,0,1,1,1,0,1,0,0,1,0,0] => 7
[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] => 6
>>> Load all 196 entries. <<<
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Description
The vector space dimension of the double dual of A/J when A is the corresponding Nakayama algebra with Jacobson radical J.
Code
DeclareOperation("largestdoubledualsimplesum",[IsList]);
InstallMethod(largestdoubledualsimplesum, "for a representation of a quiver", [IsList],0,function(LIST)
local A,simA,U,LL;
A:=LIST[1];
LL:=SimpleModules(A);
U:=[];for i in LL do Append(U,[Dimension(StarOfModule(StarOfModule(i)))]);od;
return(Sum(U));
end);
Created
Sep 11, 2018 at 12:38 by Rene Marczinzik
Updated
Sep 13, 2018 at 13:09 by Rene Marczinzik
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