proposition A.390 Construction

open in the book · appendices/A-long-proofs.tex:19027 · p. 2981

Rests on

depends_on lemma A.387 Standard boost and transitivity ¶
- 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 ¶
      - 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 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 ¶

Supports

depends_on proposition A.391 Reducible little-group data give reducible representations ¶
depends_on theorem A.392 Wigner–Mackey classification; quoted ¶

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`depends_on`	→	Standard boost and transitivity	declared	appendices/A-long-proofs.tex:19058
`depends_on`	→	The little group	declared	appendices/A-long-proofs.tex:19058
`depends_on`	→	The invariant measure	declared	appendices/A-long-proofs.tex:19058
`depends_on`	←	Reducible little-group data give reducible representations	declared	appendices/A-long-proofs.tex:19146
`depends_on`	←	Wigner–Mackey classification; quoted	declared	appendices/A-long-proofs.tex:19176
`proves`	←	app:A-long-proofs@proof-236	declared	appendices/A-long-proofs.tex:19062