definition 14.40 Ladder operators and the Casimir

open in the book · parts/02-mathematical-methods/12-lie-groups-fibre-bundles.tex:1581 · p. 559

ground object -- no derivation owed

Rests on

depends_on equation 14.44 eq:lie-su2-algebra ¶

Supports

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 ¶

Neighborhood

Every logical edge within two steps of this node.

declared and complete
partly declared
a check failed
not graded
declared in the source
inferred from structure

Edges

type	direction	node	provenance	where
`depends_on`	→	eq:lie-su2-algebra	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