2024-07-11 09:55:23 -04:00
|
|
|
/-
|
|
|
|
|
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
|
2024-07-12 16:39:44 -04:00
|
|
|
Released under Apache 2.0 license as described in the file LICENSE.
|
2024-07-11 09:55:23 -04:00
|
|
|
Authors: Joseph Tooby-Smith
|
|
|
|
|
-/
|
2024-11-09 17:29:43 +00:00
|
|
|
import HepLean.Lorentz.Group.Basic
|
|
|
|
|
import HepLean.Lorentz.Group.Proper
|
|
|
|
|
import HepLean.Lorentz.Group.Orthochronous
|
2024-12-05 06:49:50 +00:00
|
|
|
import HepLean.Meta.Informal.Basic
|
2024-07-11 09:55:23 -04:00
|
|
|
/-!
|
|
|
|
|
# The Restricted Lorentz Group
|
|
|
|
|
|
|
|
|
|
This file is currently a stub.
|
|
|
|
|
|
|
|
|
|
-/
|
|
|
|
|
/-! TODO: Add definition of the restricted Lorentz group. -/
|
|
|
|
|
/-! TODO: Prove member of the restricted Lorentz group is combo of boost and rotation. -/
|
|
|
|
|
/-! TODO: Prove restricted Lorentz group equivalent to connected component of identity. -/
|
2024-09-18 08:24:26 -04:00
|
|
|
|
|
|
|
|
noncomputable section
|
|
|
|
|
|
|
|
|
|
open Matrix
|
|
|
|
|
open Complex
|
|
|
|
|
open ComplexConjugate
|
|
|
|
|
|
|
|
|
|
namespace LorentzGroup
|
|
|
|
|
|
|
|
|
|
informal_definition Restricted where
|
|
|
|
|
math :≈ "The subgroup of the Lorentz group consisting of elements which
|
|
|
|
|
are proper and orthochronous."
|
|
|
|
|
deps :≈ [``LorentzGroup, ``IsProper, ``IsOrthochronous]
|
|
|
|
|
|
|
|
|
|
end LorentzGroup
|
