private FSnCollection IfVerticalStabilizer()
{
if (this.IsVertical() == true)
{
FSnCollection result = new FSnCollection();
int a = DiagElemCol[0];
List <Permutation> cs = Common.GeneratePermutations(this.Number);
for (int j = 0; j < cs.Count; j++)
{
FSnElement aa = new FSnElement();
aa.SnElement = cs[j];
if (cs[j].IsEven() == true)
{
aa.FElement = 1;
}
else
{
aa.FElement = -1;
}
result.Add(aa);
}
return(result);
}
else
{
return(null);
}
}
private FSnCollection IfHorizontalStabilizer()
{
if (this.IsHorizontal() == true)
{
FSnCollection result = new FSnCollection();
int a = (int)diagElemRow[0];
List <Permutation> rs = Common.GeneratePermutations(this.Number);
for (int j = 0; j < rs.Count; j++)
{
FSnElement aa = new FSnElement();
aa.SnElement = (Permutation)rs[j];
aa.FElement = 1;
result.Add(aa);
}
return(result);
}
else
{
return(null);
}
}
internal FSnCollection YoungSymmetrizer()
{
Array source = this.ToMatrix();
FSnCollection result = new FSnCollection();
if (this.IsVertical() == true)
{
result = IfVerticalStabilizer();
return(result);
}
if (this.IsHorizontal() == true)
{
result = IfHorizontalStabilizer();
return(result);
}
List <Permutation> rs = this.RowStabilizer(source);
List <Permutation> cs = this.ColStabilizer(source);
for (int i = 0; i < cs.Count; i++)
{
int sign = 0;
if (cs[i].IsEven() == true)
{
sign = 1;
}
else
{
sign = -1;
}
for (int j = 0; j < rs.Count; j++)
{
FSnElement a = new FSnElement();
a.SnElement = (Permutation)(rs[j] * cs[i]);
a.FElement = sign;
result.Add(a);
}
}
return(result);
}