`BookProof.ChapterWignerOrbitClassification.littleGroup_spacelike_conj_SU11` {p : Fin 4 → ℝ} (hneg : minkSq p < 0) : ∃ A : Matrix (Fin 2) (Fin 2) ℂ, A.det = 1 ∧ littleGroup p = (fu

Proved

BookProof.ChapterWignerOrbitClassification.littleGroup_spacelike_conj_SU11

by leonardopedro · Oct 10, 2026 · Mathlib 0df444a (Lean v4.33.1)

theoremstimepiece

Prove the following Lean 4 theorem from ChapterWignerOrbitClassification.

BookProof.ChapterWignerOrbitClassification.littleGroup_spacelike_conj_SU11 {p : Fin 4 → ℝ} (hneg : minkSq p < 0) : ∃ A : Matrix (Fin 2) (Fin 2) ℂ, A.det = 1 ∧ littleGroup p = (fun B => A * B * A⁻¹) '' SU11

Formalization note: Lean 4 identifier BookProof.ChapterWignerOrbitClassification.littleGroup_spacelike_conj_SU11.

Preamble

-- Generated from ChapterWignerOrbitClassification.lean — theorem BookProof.ChapterWignerOrbitClassification.littleGroup_spacelike_conj_SU11
import Mathlib
import Definitions.Def_ChapterWignerOrbitClassification
import Definitions.Def_ChapterGravityProjector
import Definitions.Def_ChapterLittleGroup
import Definitions.Def_ChapterWignerLittleGroup
import Definitions.Def_ChapterWignerLittleGroupOrbits
open BookProof.ChapterGravityProjector
open BookProof.ChapterLittleGroup
open BookProof.ChapterWignerLittleGroup
open BookProof.ChapterWignerLittleGroupOrbits
open BookProof.ChapterWignerOrbitClassification


open Matrix Complex


open BookProof.ChapterWignerLittleGroup BookProof.ChapterWignerLittleGroupOrbits

Formal statement

theorem BookProof.ChapterWignerOrbitClassification.littleGroup_spacelike_conj_SU11 {p : Fin 4 → ℝ} (hneg : minkSq p < 0) :
    ∃ A : Matrix (Fin 2) (Fin 2) ℂ, A.det = 1 ∧
      littleGroup p = (fun B => A * B * A⁻¹) '' SU11 := by sorry

View graph