theorem A.64 Completeness of the factorised bilinear forms
open in the book ·
appendices/A-long-proofs.tex:4199
· p. 2823
Rests on
- depends_on definition A.62 Absolutely simple ¶
- depends_on equation 15.2 eq:exp-bracket ¶
-
depends_on
lemma A.63
The invariant bilinear forms of an absolutely simple
algebra form a line
¶
- depends_on definition A.62 Absolutely simple ¶ ↺
- proves proof app:A-long-proofs@proof-48 ¶
-
depends_on
lemma 15.50
Every $k$-trace comes from a linear functional
¶
- depends_on definition 15.49 $k$-trace ¶
- proves proof ch:13-lie-algebra-expansions@proof-29 ¶
-
depends_on
theorem 15.51
Factorisation of invariant forms
¶
- depends_on definition 15.3 Tensor product Lie algebra ¶
- proves proof ch:13-lie-algebra-expansions@proof-30 ¶
- proves proof app:A-long-proofs@proof-49 ¶
Supports
Nothing declares a dependency on this node yet.
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 |
→ | Absolutely simple | declared | appendices/A-long-proofs.tex:4215 |
depends_on |
→ | eq:exp-bracket | declared | appendices/A-long-proofs.tex:4215 |
depends_on |
→ | The invariant bilinear forms of an absolutely simple algebra form a line | declared | appendices/A-long-proofs.tex:4215 |
depends_on |
→ | Every $k$-trace comes from a linear functional | declared | appendices/A-long-proofs.tex:4215 |
depends_on |
→ | Factorisation of invariant forms | declared | appendices/A-long-proofs.tex:4215 |
proves |
← | app:A-long-proofs@proof-49 | declared | appendices/A-long-proofs.tex:4218 |