Cartier–Gabriel–Kostant theorem
GPTKB entity
Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:describes |
structure of cocommutative Hopf algebras over a field of characteristic 0
|
| gptkbp:field |
gptkb:mathematics
gptkb:Lie_group |
| https://www.w3.org/2000/01/rdf-schema#label |
Cartier–Gabriel–Kostant theorem
|
| gptkbp:namedAfter |
gptkb:Pierre_Gabriel
gptkb:Pierre_Cartier gptkb:Bertram_Kostant |
| gptkbp:publishedIn |
1950s
|
| gptkbp:relatedTo |
gptkb:Lie_group
universal enveloping algebra |
| gptkbp:state |
Every cocommutative Hopf algebra over a field of characteristic 0 is isomorphic to the universal enveloping algebra of a Lie algebra semidirect product with a group algebra
|
| gptkbp:bfsParent |
gptkb:Pierre_Cartier
|
| gptkbp:bfsLayer |
6
|