proof ch:12-lie-groups-fibre-bundles@proof-2

open in the book · parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:390

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proof : ch:12-lie-groups-fibre-bundles@proof-2prooflemma 14.11: Invariance of the Killing form14.11definition 14.10: Killing form14.10corollary 14.12: Total antisymmetry of the structure constants14.12definition A.400: Invariant form, dual basis, CasimirA.400lemma A.427: Invariant bilinear forms on a simple algebraA.427theorem A.330: Cartan's criterion for semisimplicityA.330theorem A.426: The Kac–Moody cocycleA.426

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proves Invariance of the Killing form declared parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:390