Identifier
- St001254: Dyck paths ⟶ ℤ
Values
[1,0] => 1
[1,0,1,0] => 2
[1,1,0,0] => 3
[1,0,1,0,1,0] => 3
[1,0,1,1,0,0] => 4
[1,1,0,0,1,0] => 4
[1,1,0,1,0,0] => 4
[1,1,1,0,0,0] => 6
[1,0,1,0,1,0,1,0] => 4
[1,0,1,0,1,1,0,0] => 5
[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] => 7
[1,1,0,0,1,0,1,0] => 5
[1,1,0,0,1,1,0,0] => 6
[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] => 6
[1,1,1,0,0,0,1,0] => 7
[1,1,1,0,0,1,0,0] => 7
[1,1,1,0,1,0,0,0] => 7
[1,1,1,1,0,0,0,0] => 10
[1,0,1,0,1,0,1,0,1,0] => 5
[1,0,1,0,1,0,1,1,0,0] => 6
[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] => 8
[1,0,1,1,0,0,1,0,1,0] => 6
[1,0,1,1,0,0,1,1,0,0] => 7
[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] => 7
[1,0,1,1,1,0,0,0,1,0] => 8
[1,0,1,1,1,0,0,1,0,0] => 8
[1,0,1,1,1,0,1,0,0,0] => 8
[1,0,1,1,1,1,0,0,0,0] => 11
[1,1,0,0,1,0,1,0,1,0] => 6
[1,1,0,0,1,0,1,1,0,0] => 7
[1,1,0,0,1,1,0,0,1,0] => 7
[1,1,0,0,1,1,0,1,0,0] => 7
[1,1,0,0,1,1,1,0,0,0] => 9
[1,1,0,1,0,0,1,0,1,0] => 6
[1,1,0,1,0,0,1,1,0,0] => 7
[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] => 7
[1,1,0,1,1,0,0,0,1,0] => 7
[1,1,0,1,1,0,0,1,0,0] => 7
[1,1,0,1,1,0,1,0,0,0] => 7
[1,1,0,1,1,1,0,0,0,0] => 9
[1,1,1,0,0,0,1,0,1,0] => 8
[1,1,1,0,0,0,1,1,0,0] => 9
[1,1,1,0,0,1,0,0,1,0] => 8
[1,1,1,0,0,1,0,1,0,0] => 8
[1,1,1,0,0,1,1,0,0,0] => 9
[1,1,1,0,1,0,0,0,1,0] => 8
[1,1,1,0,1,0,0,1,0,0] => 8
[1,1,1,0,1,0,1,0,0,0] => 8
[1,1,1,0,1,1,0,0,0,0] => 9
[1,1,1,1,0,0,0,0,1,0] => 11
[1,1,1,1,0,0,0,1,0,0] => 11
[1,1,1,1,0,0,1,0,0,0] => 11
[1,1,1,1,0,1,0,0,0,0] => 11
[1,1,1,1,1,0,0,0,0,0] => 15
[1,0,1,0,1,0,1,0,1,0,1,0] => 6
[1,0,1,0,1,0,1,0,1,1,0,0] => 7
[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] => 9
[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] => 8
[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] => 8
[1,0,1,0,1,1,1,0,0,0,1,0] => 9
[1,0,1,0,1,1,1,0,0,1,0,0] => 9
[1,0,1,0,1,1,1,0,1,0,0,0] => 9
[1,0,1,0,1,1,1,1,0,0,0,0] => 12
[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] => 8
[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] => 8
[1,0,1,1,0,0,1,1,1,0,0,0] => 10
[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] => 8
[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] => 8
[1,0,1,1,0,1,1,0,0,0,1,0] => 8
[1,0,1,1,0,1,1,0,0,1,0,0] => 8
[1,0,1,1,0,1,1,0,1,0,0,0] => 8
[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] => 9
[1,0,1,1,1,0,0,0,1,1,0,0] => 10
[1,0,1,1,1,0,0,1,0,0,1,0] => 9
[1,0,1,1,1,0,0,1,0,1,0,0] => 9
[1,0,1,1,1,0,0,1,1,0,0,0] => 10
[1,0,1,1,1,0,1,0,0,0,1,0] => 9
[1,0,1,1,1,0,1,0,0,1,0,0] => 9
[1,0,1,1,1,0,1,0,1,0,0,0] => 9
[1,0,1,1,1,0,1,1,0,0,0,0] => 10
>>> Load all 196 entries. <<<
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Description
The vector space dimension of the first extension-group between A/soc(A) and J when A is the corresponding Nakayama algebra with Jacobson radical J.
Code
DeclareOperation("Ext1socrad",[IsList]);
InstallMethod(Ext1socrad, "for a representation of a quiver", [IsList],0,function(LIST)
local A,RegA,CoRegA,R,U;
A:=LIST[1];
RegA:=DirectSumOfQPAModules(IndecProjectiveModules(A));
R:=RadicalOfModule(RegA);
U:=CoKernel(SocleOfModuleInclusion(RegA));
return(Size(ExtOverAlgebra(U,R)[2]));
end);
Created
Sep 11, 2018 at 22:21 by Rene Marczinzik
Updated
Sep 11, 2018 at 22:21 by Rene Marczinzik
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