Statements (16)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
finite-dimensional Lie algebras
|
| gptkbp:component |
revolutionary
semisimple subalgebra |
| gptkbp:field |
Lie algebra theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Levi decomposition
|
| gptkbp:introducedIn |
1905
|
| gptkbp:namedAfter |
gptkb:Eugenio_Elia_Levi
|
| gptkbp:relatedTo |
gptkb:Jordan–Chevalley_decomposition
gptkb:Lie's_theorem |
| gptkbp:state |
Every finite-dimensional Lie algebra over a field of characteristic zero is a semidirect sum of a semisimple subalgebra and its radical
|
| gptkbp:usedIn |
representation theory
structure theory of Lie algebras |
| gptkbp:bfsParent |
gptkb:Langlands_decomposition
gptkb:Lie_group |
| gptkbp:bfsLayer |
5
|