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Construct a symmetrized operator from a local operator, PermutationGroup, and optionally an Irrep.

Definition

1. hydra::BondList symmetrized_operator(const hydra::Bond & bond, const hydra::PermutationGroup & group)

   Construct symmetrized operator from single Bond and PermutationGroup
   Parameters:
   • const hydra::Bond & bond
   • const hydra::PermutationGroup & group

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2. hydra::BondList symmetrized_operator(const hydra::Bond & bond, const hydra::PermutationGroup & group, const hydra::Representation & irrep)

   Construct symmetrized operator from single Bond and PermutationGroup and Irrep
   Parameters:
   • const hydra::Bond & bond
   • const hydra::PermutationGroup & group
   • const hydra::Representation & irrep

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3. hydra::BondList symmetrized_operator(const hydra::BondList & bonds, const hydra::PermutationGroup & group)

   Construct symmetrized operator from a BondList and PermutationGroup
   Parameters:
   • const hydra::BondList & bonds
   • const hydra::PermutationGroup & group

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4. hydra::BondList symmetrized_operator(const hydra::BondList & bonds, const hydra::PermutationGroup & group, const hydra::Representation & irrep)

   Construct symmetrized operator from a BondList and PermutationGroup and Irrep
   Parameters:
   • const hydra::BondList & bonds
   • const hydra::PermutationGroup & group
   • const hydra::Representation & irrep

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If no Irrep is given the following operator is constructed

\[\mathcal{Sym}(\mathcal{O}_A) = \frac{1}{|G|} \sum_{g\in G} \mathcal{O}_{g(A)}\]