lemma 14.87 A rescaled Casimir stays central

open in the book · parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:3792 · p. 584

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lemma 14.87: A rescaled Casimir stays central14.87definition 14.8: Casimir element14.8definition 14.83: Contraction14.83theorem 14.7: Poincaré–Birkhoff–Witt14.7proof : ch:12-lie-groups-fibre-bundles@proof-39proofdefinition 14.5: Universal enveloping algebra14.5corollary 14.18: A Casimir acts as a number on an irreducible representation14.18lemma A.347: Central is the same as invariantA.347proposition 14.60: The quadratic invariant14.60theorem A.346: RacahA.346theorem A.354: Harish-Chandra, quoted: the labels separateA.354theorem 14.16: Invariant tensors give Casimir operators14.16theorem 14.21: Racah14.21corollary A.59: The eight vanishing patterns are the contraction cubeA.59lemma 14.86: The Inönü–Wigner contraction along a subalgebra14.86proposition 14.84: Properties of a contraction14.84theorem 14.90: Bacry–Lévy-Leblond14.90proof : ch:12-lie-groups-fibre-bundles@prooflink-1proof

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typedirectionnode provenancewhere
depends_on Casimir element declared parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:3803
depends_on Contraction declared parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:3803
depends_on Poincaré–Birkhoff–Witt declared parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:3803
proves ch:12-lie-groups-fibre-bundles@proof-39 declared parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:3806