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permutation.h symmetrizer and antisymmetrizer

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Jiri Pittner
2025-11-10 14:55:48 +01:00
parent 7ef2d1b73d
commit 5980b3f74e
1 changed files with 23 additions and 0 deletions
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permutation.h
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@@ -338,6 +338,29 @@ public:
}; };
//not extremely efficient but compactly represented via young operators
template <typename T>
PermutationAlgebra<T,T> symmetrizer(int n)
{
Partition<T> p(n);
p[1]=n; for(int i=2; i<=n;++i) p[i]=0;
YoungTableaux<T> y(p);
for(int i=1; i<=n; ++i) y[1][i]=i;
return y.young_operator();
}
template <typename T>
PermutationAlgebra<T,T> antisymmetrizer(int n)
{
Partition<T> p(n);
for(int i=1; i<=n;++i) p[i]=1;
YoungTableaux<T> y(p);
for(int i=1; i<=n; ++i) y[i][1]=i;
return y.young_operator();
}
template <typename T> template <typename T>
std::ostream & operator<<(std::ostream &s, const YoungTableaux<T> &x); std::ostream & operator<<(std::ostream &s, const YoungTableaux<T> &x);