proof app:A-long-proofs@proof-212

open in the book · appendices/A-long-proofs.tex:16771

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proof : app:A-long-proofs@proof-212proofcorollary A.344: The algebras so(p,q) are semisimpleA.344equation 14.90: eq:lie-algebrasopq14.90proposition 14.59: The Killing fields of a flat pseudo-Euclidean space14.59theorem A.330: Cartan's criterion for semisimplicityA.330corollary A.411: Semisimple algebras admit no nontrivial extensionA.411example A.359: The Lorentz algebraA.359

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proves The algebras $\mathfrak{so}(p,q)$ are semisimple declared appendices/A-long-proofs.tex:16771