definition 14.83 Contraction

open in the book · parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:3615 · p. 583

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definition 14.83: Contraction14.83corollary A.59: The eight vanishing patterns are the contraction cubeA.59lemma 14.87: A rescaled Casimir stays central14.87lemma 14.86: The Inönü–Wigner contraction along a subalgebra14.86proposition 14.84: Properties of a contraction14.84theorem 14.90: Bacry–Lévy-Leblond14.90lemma A.58: Normal formA.58proof : app:A-long-proofs@proof-46proofdefinition 14.8: Casimir element14.8theorem 14.7: Poincaré–Birkhoff–Witt14.7proof : ch:12-lie-groups-fibre-bundles@proof-39proofproof : ch:12-lie-groups-fibre-bundles@proof-38proofdefinition 14.10: Killing form14.10proposition 14.77: Semisimple algebras admit no nontrivial extension14.77proof : ch:12-lie-groups-fibre-bundles@proof-37proofequation 14.34: eq:lie-so3-algebra-real14.34corollary 15.46: The sign data, hypothesis (H3), and the count eleven15.46corollary 15.44: The eight vertices are the eight degenerations of A15.44definition A.413: The Galilei algebra of three space dimensionsA.413proof : ch:12-lie-groups-fibre-bundles@prooflink-11proof

Edges

typedirectionnode provenancewhere
depends_on The eight vanishing patterns are the contraction cube declared appendices/A-long-proofs.tex:4039
depends_on A rescaled Casimir stays central declared parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:3803
depends_on The Inönü–Wigner contraction along a subalgebra declared parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:3761
depends_on Properties of a contraction declared parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:3659
depends_on Bacry–Lévy-Leblond declared parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:3913