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refactor: Spellings

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jstoobysmith 2025-02-08 13:07:54 +00:00
parent 4cd71f5ec6
commit 4a55351b72
33 changed files with 88 additions and 88 deletions
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6
HepLean/Lorentz/Weyl/Contraction.lean
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@ -174,11 +174,11 @@ lemma altLeftContraction_basis (i j : Fin 2) :
exact Eq.propIntro (fun a => id (Eq.symm a)) fun a => id (Eq.symm a)
/--
The linear map from rightHandedWeyl ⊗ altRightHandedWeyl to ℂ given by
summing over components of rightHandedWeyl and altRightHandedWeyl in the
The linear map from `rightHandedWeyl ⊗ altRightHandedWeyl` to `ℂ` given by
summing over components of `rightHandedWeyl` and `altRightHandedWeyl` in the
standard basis (i.e. the dot product).
The contraction of a right-handed Weyl fermion with a left-handed Weyl fermion.
In index notation this is ψ^{dot a} φ_{dot a}.
In index notation this is `ψ^{dot a} φ_{dot a}`.
-/
def rightAltContraction : rightHanded ⊗ altRightHanded ⟶ 𝟙_ (Rep ℂ SL(2,ℂ)) where
hom := ModuleCat.ofHom <| TensorProduct.lift rightAltBi