Chevalley's structure theorem
GPTKB entity
Statements (12)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
perfect fields
connected algebraic groups |
| gptkbp:field |
algebraic group theory
|
| gptkbp:namedAfter |
gptkb:Claude_Chevalley
|
| gptkbp:publishedIn |
gptkb:Séminaire_Claude_Chevalley
|
| gptkbp:significance |
fundamental result in the structure theory of algebraic groups
|
| gptkbp:state |
any connected algebraic group over a perfect field is an extension of an abelian variety by a linear algebraic group
|
| gptkbp:yearProposed |
1951
|
| gptkbp:bfsParent |
gptkb:Chevalley_theorem
|
| gptkbp:bfsLayer |
7
|
| https://www.w3.org/2000/01/rdf-schema#label |
Chevalley's structure theorem
|