Frobenius theorem (real division algebras)
GPTKB entity
Statements (17)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:concerns |
associative algebras
real division algebras |
| gptkbp:field |
gptkb:algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Frobenius theorem (real division algebras)
|
| gptkbp:implies |
There are no other finite-dimensional real associative division algebras besides R, C, and H.
|
| gptkbp:namedAfter |
gptkb:Ferdinand_Georg_Frobenius
|
| gptkbp:provenBy |
1877
|
| gptkbp:relatedTo |
gptkb:division
gptkb:associative_algebra gptkb:Hurwitz's_theorem quaternions complex numbers real numbers |
| gptkbp:state |
The only finite-dimensional real associative division algebras are the real numbers, complex numbers, and quaternions.
|
| gptkbp:bfsParent |
gptkb:Frobenius'_theorem
|
| gptkbp:bfsLayer |
7
|