theorem A.414 $H^{2}$ of the Galilei algebra

open in the book · appendices/A-long-proofs.tex:20231 · p. 2993

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 14.75 The classifying group ¶
- 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 14.73 The extension datum is a $2$-cocycle ¶ ↺
depends_on proposition 14.76 $H^{2}$ classifies the central extensions ¶
- depends_on definition 14.72 Central extension ¶ ↺
- depends_on definition 14.74 Coboundary and triviality ¶ ↺
- depends_on definition 14.75 The classifying group ¶ ↺
- depends_on proposition 14.73 The extension datum is a $2$-cocycle ¶ ↺
- proves proof ch:12-lie-groups-fibre-bundles@proof-36 ¶
proves proof app:A-long-proofs@proof-253 ¶

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type	direction	node	provenance	where
`depends_on`	→	The Galilei algebra of three space dimensions	declared	appendices/A-long-proofs.tex:20243
`depends_on`	→	The classifying group	declared	appendices/A-long-proofs.tex:20243
`depends_on`	→	$H^{2}$ classifies the central extensions	declared	appendices/A-long-proofs.tex:20243
`proves`	←	app:A-long-proofs@proof-253	declared	appendices/A-long-proofs.tex:20589