theorem A.64 Completeness of the factorised bilinear forms

open in the book · appendices/A-long-proofs.tex:4199 · p. 2823

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theorem A.64: Completeness of the factorised bilinear formsA.64definition A.62: Absolutely simpleA.62equation 15.2: eq:exp-bracket15.2lemma A.63: The invariant bilinear forms of an absolutely simple algebra form a lineA.63lemma 15.50: Every k-trace comes from a linear functional15.50theorem 15.51: Factorisation of invariant forms15.51proof : app:A-long-proofs@proof-49prooftheorem 15.54: Completeness in the bilinear case15.54proof : app:A-long-proofs@proof-48proofdefinition 15.49: k-trace15.49theorem 15.53: The factorised forms are exactly the balanced ones15.53proof : ch:13-lie-algebra-expansions@proof-29proofdefinition 15.3: Tensor product Lie algebra15.3corollary 15.70: Signature of the factorised form15.70example 15.57: k=2 recovers the Killing form15.57proposition 15.55: Completeness fails for k\ge315.55theorem 15.58: Nondegeneracy on a resonant subalgebra15.58proof : ch:13-lie-algebra-expansions@proof-30proof

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typedirectionnode provenancewhere
depends_on Absolutely simple declared appendices/A-long-proofs.tex:4215
depends_on eq:exp-bracket declared appendices/A-long-proofs.tex:4215
depends_on The invariant bilinear forms of an absolutely simple algebra form a line declared appendices/A-long-proofs.tex:4215
depends_on Every $k$-trace comes from a linear functional declared appendices/A-long-proofs.tex:4215
depends_on Factorisation of invariant forms declared appendices/A-long-proofs.tex:4215
proves app:A-long-proofs@proof-49 declared appendices/A-long-proofs.tex:4218