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jstoobysmith 2024-07-09 16:31:26 -04:00
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9
HepLean/SpaceTime/LorentzGroup/Basic.lean
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@ -10,18 +10,13 @@ import HepLean.SpaceTime.LorentzVector.NormOne
We define the Lorentz group.
## TODO
- Show that the Lorentz is a Lie group.
- Prove that the restricted Lorentz group is equivalent to the connected component of the
identity.
- Define the continuous maps from `ℝ³` to `restrictedLorentzGroup` defining boosts.
## References
- http://home.ku.edu.tr/~amostafazadeh/phys517_518/phys517_2016f/Handouts/A_Jaffi_Lorentz_Group.pdf
-/
/-! TODO: Show that the Lorentz is a Lie group. -/
/-! TODO: Prove restricted Lorentz group equivalent to connected component of identity. -/
noncomputable section

5
HepLean/SpaceTime/LorentzGroup/Rotations.lean
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@ -11,11 +11,8 @@ import Mathlib.Topology.Constructions
This file describes the embedding of `SO(3)` into `LorentzGroup 3`.
## TODO
Generalize to arbitrary dimensions.
-/
/-! TODO: Generalize the inclusion of rotations into LorentzGroup to abitary dimension. -/
noncomputable section
namespace LorentzGroup