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refactor: Lint

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jstoobysmith 2024-07-19 17:00:32 -04:00
parent 52e591fa7a
commit 9f27a3a9fd
46 changed files with 176 additions and 168 deletions
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6
HepLean/SpaceTime/SL2C/Basic.lean
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@ -34,7 +34,7 @@ we can define a representation a representation of `SL(2, ℂ)` on spacetime.
-/
/-- Given an element `M ∈ SL(2, ℂ)` the linear map from `selfAdjoint (Matrix (Fin 2) (Fin 2) ℂ)` to
itself defined by `A ↦ M * A * Mᴴ`. -/
itself defined by `A ↦ M * A * Mᴴ`. -/
@[simps!]
def toLinearMapSelfAdjointMatrix (M : SL(2, ℂ)) :
selfAdjoint (Matrix (Fin 2) (Fin 2) ℂ) →ₗ[ℝ] selfAdjoint (Matrix (Fin 2) (Fin 2) ℂ) where
@ -51,7 +51,7 @@ def toLinearMapSelfAdjointMatrix (M : SL(2, ℂ)) :
RingHom.id_apply]
/-- The representation of `SL(2, ℂ)` on `selfAdjoint (Matrix (Fin 2) (Fin 2) ℂ)` given by
`M A ↦ M * A * Mᴴ`. -/
`M A ↦ M * A * Mᴴ`. -/
@[simps!]
def repSelfAdjointMatrix : Representation ℝ SL(2, ℂ) $ selfAdjoint (Matrix (Fin 2) (Fin 2) ℂ) where
toFun := toLinearMapSelfAdjointMatrix
@ -103,7 +103,7 @@ lemma iff_det_selfAdjoint (Λ : Matrix (Fin 1 ⊕ Fin 3) (Fin 1 ⊕ Fin 3) ℝ)
@[simps!]
def toLorentzGroupElem (M : SL(2, ℂ)) : LorentzGroup 3 :=
⟨LinearMap.toMatrix LorentzVector.stdBasis LorentzVector.stdBasis (repLorentzVector M),
by simp [repLorentzVector, iff_det_selfAdjoint]⟩
by simp [repLorentzVector, iff_det_selfAdjoint]⟩
/-- The group homomorphism from ` SL(2, ℂ)` to the Lorentz group `𝓛`. -/
@[simps!]