proposition A.334 Nondegeneracy implies no abelian ideal

open in the book · appendices/A-long-proofs.tex:16272 · p. 2953

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proposition A.334: Nondegeneracy implies no abelian idealA.334definition A.331: Derived series, solvable, idealA.331definition 14.10: Killing form14.10proof : app:A-long-proofs@proof-202prooflemma A.332: Elementary properties of solvabilityA.332theorem A.338: EngelA.338equation 14.5: eq:lie-structconst14.5corollary A.343: The Killing form of a simple idealA.343corollary 14.12: Total antisymmetry of the structure constants14.12definition A.424: Loop algebra and residueA.424definition A.400: Invariant form, dual basis, CasimirA.400lemma A.350: Invariant polynomials on gA.350lemma 14.11: Invariance of the Killing form14.11proposition 14.84: Properties of a contraction14.84theorem A.330: Cartan's criterion for semisimplicityA.330theorem 14.13: Cartan's criterion14.13

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typedirectionnode provenancewhere
depends_on Derived series, solvable, ideal declared appendices/A-long-proofs.tex:16278
depends_on Killing form declared appendices/A-long-proofs.tex:16278
proves app:A-long-proofs@proof-202 declared appendices/A-long-proofs.tex:16281