theorem A.392 Wigner–Mackey classification; quoted

open in the book · appendices/A-long-proofs.tex:19165 · p. 2983

Rests on

depends_on definition A.384 The mass shell and the standard momentum ¶
- depends_on lemma 14.68 The algebra fixing a timelike momentum ¶
  - depends_on equation 14.23 eq:lie-sopq-defining ¶
  - depends_on proposition 14.22 The rank of $\mathfrak{so}(p,q)$ ¶
    - depends_on definition 14.20 Cartan subalgebra and rank ¶
    - depends_on equation 14.90 eq:lie-algebrasopq ¶
    - depends_on theorem 14.21 Racah ¶
      - depends_on definition 14.8 Casimir element ¶
      - depends_on definition 14.20 Cartan subalgebra and rank ¶ ↺
      - proves proof ch:12-lie-groups-fibre-bundles@prooflink-3 ¶
    - proves proof ch:12-lie-groups-fibre-bundles@proof-7 ¶
  - proves proof ch:12-lie-groups-fibre-bundles@proof-32 ¶
- depends_on notation 14.1 not:lie-indices ¶
depends_on proposition A.390 Construction ¶
- depends_on lemma A.387 Standard boost and transitivity ¶
  - depends_on definition A.384 The mass shell and the standard momentum ¶ ↺
  - depends_on equation 14.23 eq:lie-sopq-defining ¶ ↺
  - proves proof app:A-long-proofs@proof-234 ¶
- depends_on lemma A.386 The little group ¶
  - depends_on definition A.384 The mass shell and the standard momentum ¶ ↺
  - depends_on equation 14.23 eq:lie-sopq-defining ¶ ↺
  - depends_on lemma 14.68 The algebra fixing a timelike momentum ¶ ↺
  - proves proof app:A-long-proofs@proof-233 ¶
- depends_on lemma A.388 The invariant measure ¶
  - depends_on definition A.384 The mass shell and the standard momentum ¶ ↺
  - depends_on lemma A.387 Standard boost and transitivity ¶ ↺
  - proves proof app:A-long-proofs@proof-235 ¶
- proves proof app:A-long-proofs@proof-236 ¶

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type	direction	node	provenance	where
`cites`	→	The Quantum Theory of Fields. Volume I: Foundations	derived	appendices/A-long-proofs.tex:19175
`cites`	→	On Unitary Representations of the Inhomogeneous Lorentz Group	derived	appendices/A-long-proofs.tex:19175
`depends_on`	→	The mass shell and the standard momentum	declared	appendices/A-long-proofs.tex:19176
`depends_on`	→	Construction	declared	appendices/A-long-proofs.tex:19176