example 15.61 Maurer–Cartan expansion

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example 15.61: Maurer–Cartan expansion15.61definition 15.20: Resonant subalgebra15.20definition 15.14: Truncated polynomial algebra and Takiff algebra15.14definition 15.3: Tensor product Lie algebra15.3definition 15.18: ℤ_2-grading, symmetric coset15.18proposition 15.26: The contraction along a grading15.26proposition 15.21: Resonance15.21theorem 15.58: Nondegeneracy on a resonant subalgebra15.58theorem 15.34: The truncation tower is a tower of central extensions15.34corollary 15.69: No positive pairing survives the radical15.69proposition 15.15: Takiff brackets15.15definition 15.52: Balanced form15.52proposition 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 expansion15.60theorem 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 algebra15.4

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cites Generating Lie and gauge free differential (super)algebras by expanding Maurer--Cartan forms and Chern--Simons supergravity derived parts/02-mathematical-methods/13-lie-algebra-expansions.tex:2294
depends_on Resonant subalgebra declared parts/02-mathematical-methods/13-lie-algebra-expansions.tex:2305
depends_on Truncated polynomial algebra and Takiff algebra declared parts/02-mathematical-methods/13-lie-algebra-expansions.tex:2305
depends_on Tensor product Lie algebra declared parts/02-mathematical-methods/13-lie-algebra-expansions.tex:2305