definition 15.52 Balanced form

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definition 15.52: Balanced form15.52definition 15.3: Tensor product Lie algebra15.3theorem 15.53: The factorised forms are exactly the balanced ones15.53definition 15.14: Truncated polynomial algebra and Takiff algebra15.14example 15.61: Maurer–Cartan expansion15.61proposition 15.6: Functoriality15.6proposition 15.41: Resonance, general form15.41proposition 15.7: Ideals of A become ideals of g_A15.7proposition 15.8: The radical of A is solvable in g_A15.8proposition 15.60: Semigroup expansion15.60proposition 15.15: Takiff brackets15.15theorem 15.13: Classification of g_A by the algebra15.13theorem 15.54: Completeness in the bilinear case15.54theorem 15.29: The three constant-curvature kinematics, in every dimension15.29theorem 15.51: Factorisation of invariant forms15.51theorem 15.10: Factorisation of the Killing form15.10theorem 15.4: The construction produces a Lie algebra15.4lemma 15.50: Every k-trace comes from a linear functional15.50proposition 15.55: Completeness fails for k\ge315.55proof : ch:13-lie-algebra-expansions@proof-31proof

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