theorem A.351 Chevalley restriction theorem, quoted

open in the book · appendices/A-long-proofs.tex:17083 · p. 2961

Rests on

depends_on definition 14.20 Cartan subalgebra and rank ¶
depends_on lemma A.350 Invariant polynomials on $\mathfrak{g}$ ¶
- depends_on definition 14.14 Invariant symmetric tensor ¶
  - 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 14.10 Killing form ¶
  - depends_on equation 14.5 eq:lie-structconst ¶ ↺
- depends_on theorem A.330 Cartan's criterion for semisimplicity ¶
  - depends_on definition 14.10 Killing form ¶ ↺
  - depends_on lemma 14.11 Invariance of the Killing form ¶
    - depends_on definition 14.10 Killing form ¶ ↺
    - proves proof ch:12-lie-groups-fibre-bundles@proof-2 ¶
  - proves proof app:A-long-proofs@proof-209 ¶
- proves proof app:A-long-proofs@proof-216 ¶

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type	direction	node	provenance	where
`depends_on`	→	Cartan subalgebra and rank	declared	appendices/A-long-proofs.tex:17096
`depends_on`	→	Invariant polynomials on $\mathfrak{g}$	declared	appendices/A-long-proofs.tex:17096