proof app:A-long-proofs@proof-209

open in the book · appendices/A-long-proofs.tex:16617

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proof : app:A-long-proofs@proof-209prooftheorem A.330: Cartan's criterion for semisimplicityA.330definition 14.10: Killing form14.10lemma 14.11: Invariance of the Killing form14.11corollary A.344: The algebras so(p,q) are semisimpleA.344corollary A.342: Orthogonal splitting of idealsA.342lemma A.350: Invariant polynomials on gA.350lemma A.402: The trace form is nondegenerate for a faithful representationA.402theorem A.346: RacahA.346

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proves Cartan's criterion for semisimplicity declared appendices/A-long-proofs.tex:16617