refactor: Change case of type and props
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58 changed files with 695 additions and 696 deletions
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@ -11,7 +11,7 @@ import Mathlib.RepresentationTheory.Basic
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The aim of this file is to give the relationship between `SL(2, ℂ)` and the Lorentz group.
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-/
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namespace spaceTime
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namespace SpaceTime
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open Matrix
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open MatrixGroups
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@ -19,7 +19,7 @@ open Complex
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namespace SL2C
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open spaceTime
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open SpaceTime
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noncomputable section
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@ -64,7 +64,7 @@ def repSelfAdjointMatrix : Representation ℝ SL(2, ℂ) $ selfAdjoint (Matrix (
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/-- The representation of `SL(2, ℂ)` on `spaceTime` obtained from `toSelfAdjointMatrix` and
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`repSelfAdjointMatrix`. -/
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def repSpaceTime : Representation ℝ SL(2, ℂ) spaceTime where
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def repSpaceTime : Representation ℝ SL(2, ℂ) SpaceTime where
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toFun M := toSelfAdjointMatrix.symm.comp ((repSelfAdjointMatrix M).comp
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toSelfAdjointMatrix.toLinearMap)
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map_one' := by
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@ -120,4 +120,4 @@ Complete this section.
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end
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end SL2C
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end spaceTime
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end SpaceTime
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