proposition A.419 The coboundaries

open in the book · appendices/A-long-proofs.tex:20534 · p. 2996

Rests on

depends_on definition A.413 The Galilei algebra of three space dimensions ¶
- depends_on equation A.165 eq:app-kin-KP-KH ¶
- depends_on equation A.161 eq:app-kin-isotropy ¶
- depends_on theorem 14.90 Bacry–Lévy-Leblond ¶
  - depends_on definition 14.83 Contraction ¶
  - depends_on equation 14.34 eq:lie-so3-algebra-real ¶
  - proves proof ch:12-lie-groups-fibre-bundles@prooflink-11 ¶
depends_on definition 14.74 Coboundary and triviality ¶
- depends_on proposition 14.73 The extension datum is a $2$-cocycle ¶
  - depends_on definition 14.72 Central extension ¶
  - proves proof ch:12-lie-groups-fibre-bundles@proof-35 ¶
depends_on proposition A.418 The cocycles ¶
- depends_on definition A.413 The Galilei algebra of three space dimensions ¶ ↺
- depends_on lemma A.415 Invariant two-tensors ¶
  - depends_on equation A.697 eq:app-galilei-cohomology-epsilon ¶
  - proves proof app:A-long-proofs@proof-250 ¶
- depends_on lemma A.416 The mixed covariance condition ¶
  - depends_on equation A.697 eq:app-galilei-cohomology-epsilon ¶ ↺
  - proves proof app:A-long-proofs@proof-251 ¶
proves proof app:A-long-proofs@proof-252 ¶

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type	direction	node	provenance	where
`depends_on`	→	The Galilei algebra of three space dimensions	declared	appendices/A-long-proofs.tex:20538
`depends_on`	→	Coboundary and triviality	declared	appendices/A-long-proofs.tex:20538
`depends_on`	→	The cocycles	declared	appendices/A-long-proofs.tex:20538
`proves`	←	app:A-long-proofs@proof-252	declared	appendices/A-long-proofs.tex:20542