example 14.80 The Galilei algebra

open in the book · parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:3538 · p. 582

example -- no derivation owed by its kind

Rests on

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 25.14 The Galilei cocycle is not a coboundary ¶
- depends_on definition 14.72 Central extension ¶ ↺
- depends_on equation 25.15 eq:pq-galilei-central ¶
- depends_on proposition 14.73 The extension datum is a $2$-cocycle ¶ ↺
- proves proof ch:08-poisson-quantum-bridge@proof-7 ¶
proves proof ch:12-lie-groups-fibre-bundles@prooflink-9 ¶

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type	direction	node	provenance	where
`depends_on`	→	The classifying group	declared	parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:3549
`depends_on`	→	The Galilei cocycle is not a coboundary	declared	parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:3549
`proves`	←	ch:12-lie-groups-fibre-bundles@prooflink-9	declared	parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:3551