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

open in the book · parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:451

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proof : ch:12-lie-groups-fibre-bundles@prooflink-2prooftheorem 14.13: Cartan's criterion14.13definition 14.10: Killing form14.10corollary 14.17: The quadratic Casimir14.17lemma A.427: Invariant bilinear forms on a simple algebraA.427proposition 14.53: Killing form of su(3)14.53proposition 14.77: Semisimple algebras admit no nontrivial extension14.77

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proves Cartan's criterion declared parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:451