equation 14.44 eq:lie-su2-algebra

open in the book · parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:1373

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depends_on definition 14.40 Ladder operators and the Casimir ¶
- depends_on lemma 14.41 Ladder algebra ¶
  - depends_on proposition 14.44 Existence: every allowed $j$ is realized ¶
    - depends_on proposition 14.45 Which representations descend to $\SO(3,\R)$ ¶
  - depends_on theorem 14.43 The irreducible representations of $\mathfrak{su}(2)$ ¶
    - depends_on example A.394 $D = 4$ ¶
    - depends_on example A.357 Rank one: $\mathfrak{su}(2)$ ¶
    - depends_on proposition 14.44 Existence: every allowed $j$ is realized ¶ ↺
    - depends_on theorem 14.47 Clebsch–Gordan series ¶
depends_on lemma 14.41 Ladder algebra ¶ ↺
depends_on theorem 14.47 Clebsch–Gordan series ¶ ↺
depends_on theorem 14.43 The irreducible representations of $\mathfrak{su}(2)$ ¶ ↺

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type	direction	node	provenance	where
`depends_on`	←	Ladder operators and the Casimir	declared	parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:1588
`depends_on`	←	Ladder algebra	declared	parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:1606
`depends_on`	←	Clebsch–Gordan series	declared	parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:1856
`depends_on`	←	The irreducible representations of $\mathfrak{su}(2)$	declared	parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:1659