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
Rests on
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depends_on
definition 14.8
Casimir element
¶
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depends_on
definition 14.5
Universal enveloping algebra
¶
-
depends_on
equation 14.5
eq:lie-structconst
¶
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step_from
equation 14.4
eq:lie-gengrlie
¶
- step_from equation 14.3 eq:lie-generators ¶
- step_from equation 14.2 eq:lie-varincor ¶
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step_from
equation 14.4
eq:lie-gengrlie
¶
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depends_on
equation 14.5
eq:lie-structconst
¶
-
depends_on
definition 14.5
Universal enveloping algebra
¶
- depends_on definition 14.83 Contraction ¶
-
depends_on
theorem 14.7
Poincaré–Birkhoff–Witt
¶
- depends_on definition 14.5 Universal enveloping algebra ¶ ↺
- proves proof ch:12-lie-groups-fibre-bundles@prooflink-1 ¶
- proves proof ch:12-lie-groups-fibre-bundles@proof-39 ¶
Supports
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Edges
| type | direction | node | provenance | where |
|---|---|---|---|---|
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 |