30 lines
822 B
Text
30 lines
822 B
Text
/-
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Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Authors: Joseph Tooby-Smith
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-/
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import HepLean.Lorentz.Group.Orthochronous
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/-!
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# The Restricted Lorentz Group
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This file is currently a stub.
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-/
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TODO "Add definition of the restricted Lorentz group."
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TODO "Prove member of the restricted Lorentz group is combo of boost and rotation."
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TODO "Prove restricted Lorentz group equivalent to connected component of identity."
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noncomputable section
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open Matrix
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open Complex
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open ComplexConjugate
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namespace LorentzGroup
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informal_definition Restricted where
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math :≈ "The subgroup of the Lorentz group consisting of elements which
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are proper and orthochronous."
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deps :≈ [``LorentzGroup, ``IsProper, ``IsOrthochronous]
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end LorentzGroup
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