Weyl's theorem on complete reducibility
GPTKB entity
Statements (15)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
gptkb:semisimple_Lie_algebras
field has characteristic zero finite-dimensional representations |
| gptkbp:field |
gptkb:Lie_algebras
representation theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Weyl's theorem on complete reducibility
|
| gptkbp:influenced |
structure theory of Lie algebras
|
| gptkbp:namedAfter |
gptkb:Hermann_Weyl
|
| gptkbp:publishedIn |
1925
|
| gptkbp:relatedTo |
gptkb:Maschke's_theorem
representation theory of groups |
| gptkbp:state |
Every finite-dimensional representation of a semisimple Lie algebra over a field of characteristic zero is completely reducible.
|
| gptkbp:bfsParent |
gptkb:Weyl's_theorem
|
| gptkbp:bfsLayer |
5
|