proof ch:13-lie-algebra-expansions@proof-30

open in the book · parts/02-mathematical-methods/13-lie-algebra-expansions.tex:1978

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proof : ch:13-lie-algebra-expansions@proof-30prooftheorem 15.51: Factorisation of invariant forms15.51definition 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 A.64: Completeness of the factorised bilinear formsA.64theorem 15.53: The factorised forms are exactly the balanced ones15.53theorem 15.58: Nondegeneracy on a resonant subalgebra15.58

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proves Factorisation of invariant forms declared parts/02-mathematical-methods/13-lie-algebra-expansions.tex:1978