Poincaré–Birkhoff–Witt theorem
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:Lie_group
universal enveloping algebra |
| gptkbp:field |
gptkb:algebra
gptkb:Lie_group |
| https://www.w3.org/2000/01/rdf-schema#label |
Poincaré–Birkhoff–Witt theorem
|
| gptkbp:namedAfter |
gptkb:Ernst_Witt
gptkb:Henri_Poincaré gptkb:Garrett_Birkhoff |
| gptkbp:publishedIn |
gptkb:Mathematische_Annalen
|
| gptkbp:relatedTo |
gptkb:Lie_group
representation theory structure theory of Lie algebras |
| gptkbp:state |
The universal enveloping algebra of a Lie algebra has a basis corresponding to a basis of the Lie algebra.
|
| gptkbp:yearProved |
1937
|
| gptkbp:bfsParent |
gptkb:Jules_Henri_Poincaré
gptkb:Lie_algebras |
| gptkbp:bfsLayer |
6
|