definition A.375 Simple Lie algebra
open in the book ·
appendices/A-long-proofs.tex:18416
· p. 2975
- ground object -- no derivation owed
Rests on
- depends_on definition 14.49 The special unitary group in three dimensions ¶
Supports
- depends_on lemma A.380 An ideal is a sum of eigenspaces ¶
-
depends_on
theorem A.376
$\mathfrak{su}(3)$ is simple
¶
- depends_on corollary A.377 The adjoint representation is irreducible ¶
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 |
→ | The special unitary group in three dimensions | declared | appendices/A-long-proofs.tex:18421 |
depends_on |
← | An ideal is a sum of eigenspaces | declared | appendices/A-long-proofs.tex:18552 |
depends_on |
← | $\mathfrak{su}(3)$ is simple | declared | appendices/A-long-proofs.tex:18429 |