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feat: Expansion of metrics in terms of basis

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jstoobysmith 2024-10-23 11:19:22 +00:00
parent b70e9bd005
commit ca55da6a34
3 changed files with 154 additions and 6 deletions
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10
HepLean/Tensors/Tree/Elab.lean
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@ -218,6 +218,16 @@ def specialTypes : List (String × (Term → Term)) := [
mkIdent ``Fermion.complexLorentzTensor,
mkIdent ``Fermion.Color.upL,
mkIdent ``Fermion.Color.upL, T]),
("𝟙_ (Rep ℂ SL(2, ℂ)) ⟶ Fermion.altLeftHanded ⊗ Fermion.altLeftHanded", fun T =>
Syntax.mkApp (mkIdent ``TensorTree.constTwoNodeE) #[
mkIdent ``Fermion.complexLorentzTensor,
mkIdent ``Fermion.Color.downL,
mkIdent ``Fermion.Color.downL, T]),
("𝟙_ (Rep ℂ SL(2, ℂ)) ⟶ Fermion.altRightHanded ⊗ Fermion.altRightHanded", fun T =>
Syntax.mkApp (mkIdent ``TensorTree.constTwoNodeE) #[
mkIdent ``Fermion.complexLorentzTensor,
mkIdent ``Fermion.Color.downR,
mkIdent ``Fermion.Color.downR, T]),
("𝟙_ (Rep ℂ SL(2, ℂ)) ⟶ Fermion.rightHanded ⊗ Fermion.rightHanded", fun T =>
Syntax.mkApp (mkIdent ``TensorTree.constTwoNodeE) #[
mkIdent ``Fermion.complexLorentzTensor,