proposition 15.60 Semigroup expansion
open in the book ·
parts/02-mathematical-methods/13-lie-algebra-expansions.tex:2268
· p. 625
Rests on
- depends_on definition 15.3 Tensor product Lie algebra ¶
-
depends_on
theorem 15.4
The construction produces a Lie algebra
¶
- depends_on definition 15.3 Tensor product Lie algebra ¶ ↺
- proves proof ch:13-lie-algebra-expansions@proof-1 ¶
- proves proof ch:13-lie-algebra-expansions@proof-34 ¶
Supports
-
depends_on
proposition 15.62
The complex line is not a semigroup algebra
¶
- depends_on remark 15.63 The inclusion is strict, and the strictness is physical ¶
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 |
|---|---|---|---|---|
cites |
→ | Expanding Lie (super)algebras through Abelian semigroups | derived | parts/02-mathematical-methods/13-lie-algebra-expansions.tex:2273 |
depends_on |
→ | Tensor product Lie algebra | declared | parts/02-mathematical-methods/13-lie-algebra-expansions.tex:2281 |
depends_on |
→ | The construction produces a Lie algebra | declared | parts/02-mathematical-methods/13-lie-algebra-expansions.tex:2281 |
depends_on |
← | The complex line is not a semigroup algebra | declared | parts/02-mathematical-methods/13-lie-algebra-expansions.tex:2311 |
proves |
← | ch:13-lie-algebra-expansions@proof-34 | declared | parts/02-mathematical-methods/13-lie-algebra-expansions.tex:2284 |