lemma A.347 Central is the same as invariant

open in the book · appendices/A-long-proofs.tex:16929 · p. 2960

Rests on

depends_on definition 14.8 Casimir element ¶
- depends_on definition 14.5 Universal enveloping algebra ¶
  - depends_on equation 14.5 eq:lie-structconst ¶
    - step_from equation 14.4 eq:lie-gengrlie ¶
      - step_from equation 14.3 eq:lie-generators ¶
      - step_from equation 14.2 eq:lie-varincor ¶
depends_on definition 14.5 Universal enveloping algebra ¶ ↺
proves proof app:A-long-proofs@proof-213 ¶

Supports

depends_on proposition A.348 Symmetrization identifies the invariants ¶
- depends_on lemma A.349 Lifting generators through the filtration ¶

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`	→	Casimir element	declared	appendices/A-long-proofs.tex:16937
`depends_on`	→	Universal enveloping algebra	declared	appendices/A-long-proofs.tex:16937
`depends_on`	←	Symmetrization identifies the invariants	declared	appendices/A-long-proofs.tex:16971
`proves`	←	app:A-long-proofs@proof-213	declared	appendices/A-long-proofs.tex:16940