proof ch:12-lie-groups-fibre-bundles@proof-36

open in the book · parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:3444

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proof : ch:12-lie-groups-fibre-bundles@proof-36proofproposition 14.76: H^2 classifies the central extensions14.76definition 14.72: Central extension14.72definition 14.74: Coboundary and triviality14.74definition 14.75: The classifying group14.75proposition 14.73: The extension datum is a 2-cocycle14.73corollary A.411: Semisimple algebras admit no nontrivial extensionA.411proposition A.408: The two groups vanish for the trivial moduleA.408theorem A.414: H^2 of the Galilei algebraA.414theorem A.422: The Virasoro extensionA.422

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proves $H^{2}$ classifies the central extensions declared parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:3444