/-
Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Joseph Tooby-Smith
-/
import HepLean.Lorentz.Group.Basic
import HepLean.Lorentz.Group.Proper
import HepLean.Lorentz.Group.Orthochronous
import HepLean.Meta.Informal
/-!
# 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. -/

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