definition A.424 Loop algebra and residue

open in the book · appendices/A-long-proofs.tex:20865 · p. 3000

ground object -- no derivation owed

Rests on

depends_on definition 14.72 Central extension ¶
depends_on definition 14.10 Killing form ¶
- 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 ¶

Supports

depends_on lemma A.425 The residue of a derivative vanishes ¶
- depends_on theorem A.426 The Kac–Moody cocycle ¶
  - depends_on proposition A.428 Uniqueness in degree zero ¶
depends_on theorem A.426 The Kac–Moody cocycle ¶ ↺

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`	→	Central extension	declared	appendices/A-long-proofs.tex:20878
`depends_on`	→	Killing form	declared	appendices/A-long-proofs.tex:20878
`depends_on`	←	The residue of a derivative vanishes	declared	appendices/A-long-proofs.tex:20886
`depends_on`	←	The Kac–Moody cocycle	declared	appendices/A-long-proofs.tex:20919